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Deck 2: Functions and Graphs
Full screen (f)
Question
Determine the center and radius of the circle with the following equation. 
A)center:
; radius: 15
B)center:
; radius: 225
C)center:
; radius: 15
D)center:
; radius: 
E)center:
; radius: 1
A)center:
; radius: 15B)center:
; radius: 225C)center:
; radius: 15D)center:
; radius: E)center:
; radius: 1
Question
Given 
, find 
.
A)38
B)58
C)48
D)-34
E)-22
, find .A)38
B)58
C)48
D)-34
E)-22
Question
Graph the following equation by plotting points that satisfy the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the center and radius of the graph of the circle. The equation of the circle is written in general form. 
A)center:
; radius: 
B)center:
; radius: 6
C)center:
; radius: 6
D)center:
; radius: 6
E)center:
; radius: 
A)center:
; radius: B)center:
; radius: 6C)center:
; radius: 6D)center:
; radius: 6E)center:
; radius: Question
Determine the domain of the following function. 
A)
B)
C)
D)
E)all real numbers
A)
B)
C)
D)
E)all real numbers
Question
Use the floor function to write an expression that can be used to round 6.0762 to the nearest thousandths.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the x - and y -intercepts of the graph of the following equation. 
A)x -int:
; y -int: 
B)x -int:
; y -int: 
C)x -int:
; y -int: 
D)x -int:
; y -int: 
E)x -int:
; y -int: 
A)x -int:
; y -int: B)x -int:
; y -int: C)x -int:
; y -int: D)x -int:
; y -int: E)x -int:
; y -int: Question
The amount of federal income tax 
an individual owed in 2004 is given by 
where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.
A)
B)
C)
D)
E)
an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.A)
B)
C)
D)
E)
Question
Given 
, find 
.
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
Question
Graph the following equation by plotting points that satisfy the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Given 
, find 
.
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
Question
Given 
, find 
.
A)-5
B)1
C)
D)-7
E)
, find .A)-5
B)1
C)
D)-7
E)
Question
The amount of federal income tax 
an individual owed in 2004 is given by 
where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $58,250.
A)$8,380.00
B)$11,300.00
C)$12,176.00
D)$7,300.00
E)$9,789.00
an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $58,250.A)$8,380.00
B)$11,300.00
C)$12,176.00
D)$7,300.00
E)$9,789.00
Question
For the piecewise-defined function below, find 
A)
B)8
C)3
D)v
E)
A)
B)8
C)3
D)v
E)
Question
Find an equation of a circle that satisfies the following condition. Write your answer in standard form. Center: 
; passing through 
A)
B)
C)
D)
E)
; passing through A)
B)
C)
D)
E)
Question
Given 
, find 
.
A)80
B)89
C)11
D)31
E)71
, find .A)80
B)89
C)11
D)31
E)71
Question
For the piecewise-defined function below, find 
. 
A)8
B)
C)2
D)
E)0
. A)8
B)
C)2
D)
E)0
Question
Given 
, find 
.
A)10
B)-1
C)7
D)13
E)6
, find .A)10
B)-1
C)7
D)13
E)6
Question
Plot the points below whose coordinates are given on a Cartesian coordinate system. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
For the piecewise-defined function below, find 
A)
B)9
C)
D)6
E)20
A)
B)9
C)
D)6
E)20
Question
Use the vertical line test to determine if the following graph is the graph of a function. 
A)not a function
B)function
A)not a function
B)function
Question
Find the value of x in the domain of 
for which 
.
A)4
B)2
C)8
D)-5
E)-6
for which .A)4
B)2
C)8
D)-5
E)-6
Question
An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area 
from each corner as shown in the figure below. Express the volume V of the box as a function of x . 
A)
B)
C)
D)
E)
from each corner as shown in the figure below. Express the volume V of the box as a function of x . A)
B)
C)
D)
E)
Question
Use the vertical line test to determine if the following graph is the graph of a function. 
A)function
B)not a function
A)function
B)not a function
Question
A rental car company purchases an automobile for $18,800. The automobile requires an average cost of $8.15 per day in maintenance. Find a linear function that expresses the total cost C of owning the automobile after t days.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The amount of federal income tax 
an individual owed in $year is given by 
where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $124,400.
A)$31,635
B)$30,793
C)$17,010
D)$27,343
E)$29,934
an individual owed in $year is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $124,400.A)$31,635
B)$30,793
C)$17,010
D)$27,343
E)$29,934
Question
Determine the profit function, 
if the revenue function and cost functions are 
and 
respectively. Also find the break-even point.
A)
; 
, the break-even point
B)
; 
, the break-even point
C)
; 
, the break-even point
D)
; 
, the break-even point
E)
; 
, the break-even point
if the revenue function and cost functions are and respectively. Also find the break-even point.A)
; , the break-even pointB)
; , the break-even pointC)
; , the break-even pointD)
; , the break-even pointE)
; , the break-even point Question
A rental car company purchases an automobile for $20,600. The automobile requires an average cost of $7.60 per day in maintenance. The automobile rents for $60.00 a day. Find a linear function that expresses the total revenue R when the automobile has been rented for t days.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Question
Find the slope of the line that passes through the points 
and 
.
A)8
B)-8
C)0
D)undefined
E)7
and .A)8
B)-8
C)0
D)undefined
E)7
Question
Graph y as a function of x by finding the slope and y-intercept of the line below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the vertical line test to determine if the following graph is the graph of a function. 
A)not a Function
B)function
A)not a Function
B)function
Question
Given the function below, find the solution of 
. 
A)-2
B)2
C)-7
D)-12
E)7
. A)-2
B)2
C)-7
D)-12
E)7
Question
Use the vertical line test to determine if the following graph is the graph of a function. 
A)function
B)not a function
A)function
B)not a function
Question
A rental car company purchases an automobile for $20,800. The automobile requires an average cost of $7.45 per day in maintenance. The automobile rents for $65.00 a day. The profit after t days, 
is given by the function 
. Find the linear function 
.
A)
B)
C)
D)
E)
is given by the function . Find the linear function .A)
B)
C)
D)
E)
Question
The federal minimum wage, in dollars per hour, for the years 1955 to 2005 is given in the table below. Using the data from 1955 and 1975, find a linear model that predicts the federal minimum wage for the year t . Round to nearest hundredth. Year Federal Minimum Wage 1955 0.75 1965 1.25 1975 2.10 1985 3.35 1995 4.25 2005 5.15
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
A boat was purchased for $39,000. Assuming the boat depreciates at a rate of $4680 per year ( straight-line depreciation )for the first 7 years, write the value v of the boat as a function of the time t (measured in years)for 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
An open box is to be made from a square piece of cardboard having dimensions 28 inches by 28 inches by cutting out squares of area 
from each corner as shown in the figure below. If the volume of the box is given by 
, state the domain of V . 
A)
B)
C)
D)all real numbers
E)
from each corner as shown in the figure below. If the volume of the box is given by , state the domain of V . A)
B)
C)
D)all real numbers
E)
Question
Find the equation of the line that has y -intercept 
and slope 4. Write the equation in the form 
.
A)
B)
C)
D)
E)
and slope 4. Write the equation in the form .A)
B)
C)
D)
E)
Question
Find the slope of the line that passes through the points 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the range of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is 
. The price per parcel, in dollars, the company charges to send x parcels is 
. Determine the price per parcel that yields the maximum profit.
A)$6.00
B)$12.44
C)$18.25
D)$10.50
E)$15.00
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the price per parcel that yields the maximum profit.A)$6.00
B)$12.44
C)$18.25
D)$10.50
E)$15.00
Question
Determine whether the graph of 
is symmetric with respect to the x -axis and/or the y -axis.
A)symmetric with respect to the y -axis
B)symmetric with respect to the x -axis
C)symmetric with respect to both
D)symmetric with respect to neither
is symmetric with respect to the x -axis and/or the y -axis.A)symmetric with respect to the y -axis
B)symmetric with respect to the x -axis
C)symmetric with respect to both
D)symmetric with respect to neither
Question
Use the vertex formula to determine the vertex of the graph of 
and write the function in standard form.
A)Vertex:
; 
B)Vertex:
; 
C)Vertex:
; 
D)Vertex:
; 
E)Vertex:
; 
and write the function in standard form.A)Vertex:
; B)Vertex:
; C)Vertex:
; D)Vertex:
; E)Vertex:
; Question
The sum of the length l and the width w of a rectangular region is 260 meters. Write w as a function of l .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The height in feet of a projectile with an initial velocity of 192 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by 
. Find the time t when the projectile reaches its maximum height.
A)8 s
B)5 s
C)4 s
D)6 s
E)7 s
. Find the time t when the projectile reaches its maximum height.A)8 s
B)5 s
C)4 s
D)6 s
E)7 s
Question
The sum of the length l and the width w of a rectangular region is 200 meters. Write the area A as a function of l .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is 
. The price per parcel, in dollars, the company charges to send x parcels is 
. Determine the revenue function.
A)
B)
C)
D)
E)
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the revenue function.A)
B)
C)
D)
E)
Question
The height in feet of a projectile with an initial velocity of 128 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by 
. Find the maximum height of the projectile.
A)165 ft
B)414 ft
C)316 ft
D)508 ft
E)413 ft
. Find the maximum height of the projectile.A)165 ft
B)414 ft
C)316 ft
D)508 ft
E)413 ft
Question
The height in feet of a projectile with an initial velocity of 65 feet per second and an initial height of 48 feet is a function of time t , in seconds, given by 
. Find the time t when the projectile has a height of 0 feet. Round to nearest tenth of a second.
A)5.5 s
B)5.1 s
C)3.8 s
D)4.7 s
E)6.4 s
. Find the time t when the projectile has a height of 0 feet. Round to nearest tenth of a second.A)5.5 s
B)5.1 s
C)3.8 s
D)4.7 s
E)6.4 s
Question
Determine whether the graph of 
is symmetric with respect to the origin.
is symmetric with respect to the origin. Question
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is 
. The price per parcel, in dollars, the company charges to send x parcels is 
. Determine the minimum number of parcels the air freight company must ship to break even.
A)408 parcels
B)460 parcels
C)138 parcels
D)782 parcels
E)494 parcels
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the minimum number of parcels the air freight company must ship to break even.A)408 parcels
B)460 parcels
C)138 parcels
D)782 parcels
E)494 parcels
Question
Use the method of completing the square to find the standard form of the quadratic function below. State the vertex and axis of symmetry of the graph of the function. 
A)
, vertex 
, axis of symmetry 
B)
, vertex 
, axis of symmetry 
C)
, vertex 
, axis of symmetry 
D)
, vertex 
, axis of symmetry 
E)
, vertex 
, axis of symmetry 
A)
, vertex , axis of symmetry B)
, vertex , axis of symmetry C)
, vertex , axis of symmetry D)
, vertex , axis of symmetry E)
, vertex , axis of symmetry Question
Find the maximum or the minimum value of 
. State whether this value is a maximum or a minimum.
A)-40; minimum
B)80; maximum
C)-20; maximum
D)-20; minimum
E)8; maximum
. State whether this value is a maximum or a minimum.A)-40; minimum
B)80; maximum
C)-20; maximum
D)-20; minimum
E)8; maximum
Question
A rock attached to a string is whirled horizontally about the origin in a counterclockwise circular path with radius 5 feet. When the string breaks, the rock travels on a linear path perpendicular to the radius OP and hits the wall which is 
feet away. If the string breaks when the rock is at 
, find the x -coordinate of the point at which the rock hits the wall. 
A)-6
B)-4
C)-7
D)-5
E)-8
feet away. If the string breaks when the rock is at , find the x -coordinate of the point at which the rock hits the wall. A)-6
B)-4
C)-7
D)-5
E)-8
Question
The sum of the length l and the width w of a rectangular region is 250 meters. Find the dimensions that produce the greatest area.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
A rental car company purchases an automobile for $21,800. The automobile requires an average cost of $7.05 per day in maintenance. The automobile rents for $45.00 a day. The profit after t days, 
, is given by the function 
. After finding the linear function 
, determine, to the nearest day, how many days it will take the company to break-even assuming the automobile is in use every day.
A)approximately 529 days
B)approximately 625 days
C)approximately 574 days
D)approximately 419 days
E)approximately 497 days
, is given by the function . After finding the linear function , determine, to the nearest day, how many days it will take the company to break-even assuming the automobile is in use every day.A)approximately 529 days
B)approximately 625 days
C)approximately 574 days
D)approximately 419 days
E)approximately 497 days
Question
Find the maximum or minimum value of the function below. State whether this value is a maximum or a minimum. 
A)1, a minimum
B)-10, a maximum
C)-10, a minimum
D)10, a maximum
E)10, a minimum
A)1, a minimum
B)-10, a maximum
C)-10, a minimum
D)10, a maximum
E)10, a minimum
Question
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is 
. The price per parcel, in dollars, the company charges to send x parcels is 
. Determine the company s maximum profit to the nearest dollar.
A)$9220
B)$3610
C)$4030
D)$12,610
E)$8480
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the company s maximum profit to the nearest dollar.A)$9220
B)$3610
C)$4030
D)$12,610
E)$8480
Question
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is 
. The price per parcel, in dollars, the company charges to send x parcels is 
. Determine the profit function.
A)
B)
C)
D)
E)
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the profit function.A)
B)
C)
D)
E)
Question
Evaluate the following composite function if 
and 
. 
A)49
B)54
C)48
D)47
E)46
and . A)49
B)54
C)48
D)47
E)46
Question
Use the graph of 
, shown below, to sketch the graph of the function below. 
A)
B)
C)
D)
E)
, shown below, to sketch the graph of the function below. A)
B)
C)
D)
E)
Question
Use the graph of g, shown below, to sketch the graph of the function below. g 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the difference quotient of 
.
A)
B)
C)8
D)
E)
.A)
B)
C)8
D)
E)
Question
If 
and 
, find 
and state the domain.
A)
; 
B)
; 
C)
; 
D)
; all real numbers
E)
; 
and , find and state the domain.A)
; B)
; C)
; D)
; all real numbersE)
; Question
Use the graph of 
shown below, to sketch the graph of the function below. 
A)
B)
C)
D)
E)
shown below, to sketch the graph of the function below. A)
B)
C)
D)
E)
Question
Determine whether 
is an even function, an odd function, or neither.
A)even function
B)neither
C)odd function
is an even function, an odd function, or neither.A)even function
B)neither
C)odd function
Question
Determine whether the following scatter diagram suggests a linear relationship between x and y , a nonlinear relationship between x and y , or no relationship between x and y . 
A)no relationship between x and y
B)linear relationship between x and y
C)nonlinear relationship between x and y
A)no relationship between x and y
B)linear relationship between x and y
C)nonlinear relationship between x and y
Question
Use the graph of E, shown below, to sketch the graph of the function below. E 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the graph of n, shown below, to sketch the graph of the function below. n 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the graph of E, shown below, to sketch the graph of the function below. E 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the difference quotient of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Determine whether 
is an even function, an odd function, or neither.
A)odd function
B)even function
C)neither
is an even function, an odd function, or neither.A)odd function
B)even function
C)neither
Question
Evaluate 
where 
and 
.
A)
B)
C)
D)
E)
where and .A)
B)
C)
D)
E)
Question
Evaluate 
where 
and 
.
A)131
B)59
C)96
D)61
E)31
where and .A)131
B)59
C)96
D)61
E)31
Question
Evaluate 
where 
and 
.
A)-12
B)12
C)4
D)0
E)-61
where and .A)-12
B)12
C)4
D)0
E)-61
Question
A water tank has the shape of a right circular cone with height 18 feet and radius 14 feet. Water is running into the tank so that the radius r (in feet)of the surface of the water is given by 
where t is the time (in minutes)that the water has been running. The volume V of the water is given by 
Find 
and use it to determine the volume of the water when 
minutes. Round to the nearest tenth.
A)150.8 cubic feet
B)193.9 cubic feet
C)938.3 cubic feet
D)2326.6 cubic feet
E)1407.4 cubic feet
where t is the time (in minutes)that the water has been running. The volume V of the water is given by Find and use it to determine the volume of the water when minutes. Round to the nearest tenth.A)150.8 cubic feet
B)193.9 cubic feet
C)938.3 cubic feet
D)2326.6 cubic feet
E)1407.4 cubic feet
Question
Use the graph of g, shown below, to sketch the graph of the function below. g 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate 
where 
and 
.
A)-32
B)-16
C)-20
D)-18
E)-2
where and .A)-32
B)-16
C)-20
D)-18
E)-2
Question
Find the difference quotient of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Deck 2: Functions and Graphs
1
Determine the center and radius of the circle with the following equation.
A)center: ; radius: 15
B)center: ; radius: 225
C)center: ; radius: 15
D)center: ; radius:
E)center: ; radius: 1
A)center:
; radius: 15B)center:
; radius: 225C)center:
; radius: 15D)center:
; radius: E)center:
; radius: 1center: ; radius: 15
; radius: 15 2
Given , find .
A)38
B)58
C)48
D)-34
E)-22
, find .A)38
B)58
C)48
D)-34
E)-22
38
3
Graph the following equation by plotting points that satisfy the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find the center and radius of the graph of the circle. The equation of the circle is written in general form.
A)center: ; radius:
B)center: ; radius: 6
C)center: ; radius: 6
D)center: ; radius: 6
E)center: ; radius:
A)center:
; radius: B)center:
; radius: 6C)center:
; radius: 6D)center:
; radius: 6E)center:
; radius: Unlock Deck
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5
Determine the domain of the following function.
A)
B)
C)
D)
E)all real numbers
A)
B)
C)
D)
E)all real numbers
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6
Use the floor function to write an expression that can be used to round 6.0762 to the nearest thousandths.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
Find the x - and y -intercepts of the graph of the following equation.
A)x -int: ; y -int:
B)x -int: ; y -int:
C)x -int: ; y -int:
D)x -int: ; y -int:
E)x -int: ; y -int:
A)x -int:
; y -int: B)x -int:
; y -int: C)x -int:
; y -int: D)x -int:
; y -int: E)x -int:
; y -int: Unlock Deck
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8
The amount of federal income tax an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.
A)
B)
C)
D)
E)
an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.A)
B)
C)
D)
E)
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k this deck
9
Given , find .
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
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k this deck
10
Graph the following equation by plotting points that satisfy the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
11
Given , find .
A)
B)
C)
D)
E)
, find .A)
B)
C)
D)
E)
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k this deck
12
Given , find .
A)-5
B)1
C)
D)-7
E)
, find .A)-5
B)1
C)
D)-7
E)
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Unlock for access to all 88 flashcards in this deck.
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k this deck
13
The amount of federal income tax an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $58,250.
A)$8,380.00
B)$11,300.00
C)$12,176.00
D)$7,300.00
E)$9,789.00
an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $58,250.A)$8,380.00
B)$11,300.00
C)$12,176.00
D)$7,300.00
E)$9,789.00
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k this deck
14
For the piecewise-defined function below, find
A)
B)8
C)3
D)v
E)
A)
B)8
C)3
D)v
E)
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k this deck
15
Find an equation of a circle that satisfies the following condition. Write your answer in standard form. Center: ; passing through
A)
B)
C)
D)
E)
; passing through A)
B)
C)
D)
E)
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k this deck
16
Given , find .
A)80
B)89
C)11
D)31
E)71
, find .A)80
B)89
C)11
D)31
E)71
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k this deck
17
For the piecewise-defined function below, find .
A)8
B)
C)2
D)
E)0
. A)8
B)
C)2
D)
E)0
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k this deck
18
Given , find .
A)10
B)-1
C)7
D)13
E)6
, find .A)10
B)-1
C)7
D)13
E)6
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k this deck
19
Plot the points below whose coordinates are given on a Cartesian coordinate system.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
20
For the piecewise-defined function below, find
A)
B)9
C)
D)6
E)20
A)
B)9
C)
D)6
E)20
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k this deck
21
Use the vertical line test to determine if the following graph is the graph of a function.
A)not a function
B)function
A)not a function
B)function
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k this deck
22
Find the value of x in the domain of for which .
A)4
B)2
C)8
D)-5
E)-6
for which .A)4
B)2
C)8
D)-5
E)-6
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k this deck
23
An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area from each corner as shown in the figure below. Express the volume V of the box as a function of x .
A)
B)
C)
D)
E)
from each corner as shown in the figure below. Express the volume V of the box as a function of x . A)
B)
C)
D)
E)
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k this deck
24
Use the vertical line test to determine if the following graph is the graph of a function.
A)function
B)not a function
A)function
B)not a function
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k this deck
25
A rental car company purchases an automobile for $18,800. The automobile requires an average cost of $8.15 per day in maintenance. Find a linear function that expresses the total cost C of owning the automobile after t days.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
26
The amount of federal income tax an individual owed in $year is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $124,400.
A)$31,635
B)$30,793
C)$17,010
D)$27,343
E)$29,934
an individual owed in $year is given by where x is the adjusted gross income tax of the taxpayer. Find the income tax owed by an individual whose adjusted gross income was $124,400.A)$31,635
B)$30,793
C)$17,010
D)$27,343
E)$29,934
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k this deck
27
Determine the profit function, if the revenue function and cost functions are and respectively. Also find the break-even point.
A) ; , the break-even point
B) ; , the break-even point
C) ; , the break-even point
D) ; , the break-even point
E) ; , the break-even point
if the revenue function and cost functions are and respectively. Also find the break-even point.A)
; , the break-even pointB)
; , the break-even pointC)
; , the break-even pointD)
; , the break-even pointE)
; , the break-even point Unlock Deck
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28
A rental car company purchases an automobile for $20,600. The automobile requires an average cost of $7.60 per day in maintenance. The automobile rents for $60.00 a day. Find a linear function that expresses the total revenue R when the automobile has been rented for t days.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
29
The federal minimum wage, in dollars per hour, for the years 1955 to 2005 is given in the table below. Using the data from 1955 and 1995, find a linear model (rounding the slope and intercept to 2 decimal places)that predicts the federal minimum wage for the year t . Use this model to predict in what year the federal minimum wage will exceed $5.80. Year Federal Minimum Wage 1955 0.75 1965 1.25 1975 2.10 1985 3.35 1995 4.25 2005 5.15
A)2010
B)2012
C)2013
D)2014
E)2015
A)2010
B)2012
C)2013
D)2014
E)2015
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30
Find the slope of the line that passes through the points and .
A)8
B)-8
C)0
D)undefined
E)7
and .A)8
B)-8
C)0
D)undefined
E)7
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31
Graph y as a function of x by finding the slope and y-intercept of the line below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
32
Use the vertical line test to determine if the following graph is the graph of a function.
A)not a Function
B)function
A)not a Function
B)function
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k this deck
33
Given the function below, find the solution of .
A)-2
B)2
C)-7
D)-12
E)7
. A)-2
B)2
C)-7
D)-12
E)7
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k this deck
34
Use the vertical line test to determine if the following graph is the graph of a function.
A)function
B)not a function
A)function
B)not a function
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k this deck
35
A rental car company purchases an automobile for $20,800. The automobile requires an average cost of $7.45 per day in maintenance. The automobile rents for $65.00 a day. The profit after t days, is given by the function . Find the linear function .
A)
B)
C)
D)
E)
is given by the function . Find the linear function .A)
B)
C)
D)
E)
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k this deck
36
The federal minimum wage, in dollars per hour, for the years 1955 to 2005 is given in the table below. Using the data from 1955 and 1975, find a linear model that predicts the federal minimum wage for the year t . Round to nearest hundredth. Year Federal Minimum Wage 1955 0.75 1965 1.25 1975 2.10 1985 3.35 1995 4.25 2005 5.15
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
37
A boat was purchased for $39,000. Assuming the boat depreciates at a rate of $4680 per year ( straight-line depreciation )for the first 7 years, write the value v of the boat as a function of the time t (measured in years)for .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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k this deck
38
An open box is to be made from a square piece of cardboard having dimensions 28 inches by 28 inches by cutting out squares of area from each corner as shown in the figure below. If the volume of the box is given by , state the domain of V .
A)
B)
C)
D)all real numbers
E)
from each corner as shown in the figure below. If the volume of the box is given by , state the domain of V . A)
B)
C)
D)all real numbers
E)
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k this deck
39
Find the equation of the line that has y -intercept and slope 4. Write the equation in the form .
A)
B)
C)
D)
E)
and slope 4. Write the equation in the form .A)
B)
C)
D)
E)
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k this deck
40
Find the slope of the line that passes through the points .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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k this deck
41
Find the range of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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k this deck
42
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the price per parcel that yields the maximum profit.
A)$6.00
B)$12.44
C)$18.25
D)$10.50
E)$15.00
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the price per parcel that yields the maximum profit.A)$6.00
B)$12.44
C)$18.25
D)$10.50
E)$15.00
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k this deck
43
Determine whether the graph of is symmetric with respect to the x -axis and/or the y -axis.
A)symmetric with respect to the y -axis
B)symmetric with respect to the x -axis
C)symmetric with respect to both
D)symmetric with respect to neither
is symmetric with respect to the x -axis and/or the y -axis.A)symmetric with respect to the y -axis
B)symmetric with respect to the x -axis
C)symmetric with respect to both
D)symmetric with respect to neither
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44
Use the vertex formula to determine the vertex of the graph of and write the function in standard form.
A)Vertex: ;
B)Vertex: ;
C)Vertex: ;
D)Vertex: ;
E)Vertex: ;
and write the function in standard form.A)Vertex:
; B)Vertex:
; C)Vertex:
; D)Vertex:
; E)Vertex:
; Unlock Deck
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45
The sum of the length l and the width w of a rectangular region is 260 meters. Write w as a function of l .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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46
The height in feet of a projectile with an initial velocity of 192 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by . Find the time t when the projectile reaches its maximum height.
A)8 s
B)5 s
C)4 s
D)6 s
E)7 s
. Find the time t when the projectile reaches its maximum height.A)8 s
B)5 s
C)4 s
D)6 s
E)7 s
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k this deck
47
The sum of the length l and the width w of a rectangular region is 200 meters. Write the area A as a function of l .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
48
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the revenue function.
A)
B)
C)
D)
E)
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the revenue function.A)
B)
C)
D)
E)
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49
The height in feet of a projectile with an initial velocity of 128 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by . Find the maximum height of the projectile.
A)165 ft
B)414 ft
C)316 ft
D)508 ft
E)413 ft
. Find the maximum height of the projectile.A)165 ft
B)414 ft
C)316 ft
D)508 ft
E)413 ft
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50
The height in feet of a projectile with an initial velocity of 65 feet per second and an initial height of 48 feet is a function of time t , in seconds, given by . Find the time t when the projectile has a height of 0 feet. Round to nearest tenth of a second.
A)5.5 s
B)5.1 s
C)3.8 s
D)4.7 s
E)6.4 s
. Find the time t when the projectile has a height of 0 feet. Round to nearest tenth of a second.A)5.5 s
B)5.1 s
C)3.8 s
D)4.7 s
E)6.4 s
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51
Determine whether the graph of is symmetric with respect to the origin.
is symmetric with respect to the origin. Unlock Deck
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52
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the minimum number of parcels the air freight company must ship to break even.
A)408 parcels
B)460 parcels
C)138 parcels
D)782 parcels
E)494 parcels
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the minimum number of parcels the air freight company must ship to break even.A)408 parcels
B)460 parcels
C)138 parcels
D)782 parcels
E)494 parcels
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53
Use the method of completing the square to find the standard form of the quadratic function below. State the vertex and axis of symmetry of the graph of the function.
A) , vertex , axis of symmetry
B) , vertex , axis of symmetry
C) , vertex , axis of symmetry
D) , vertex , axis of symmetry
E) , vertex , axis of symmetry
A)
, vertex , axis of symmetry B)
, vertex , axis of symmetry C)
, vertex , axis of symmetry D)
, vertex , axis of symmetry E)
, vertex , axis of symmetry Unlock Deck
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54
Find the maximum or the minimum value of . State whether this value is a maximum or a minimum.
A)-40; minimum
B)80; maximum
C)-20; maximum
D)-20; minimum
E)8; maximum
. State whether this value is a maximum or a minimum.A)-40; minimum
B)80; maximum
C)-20; maximum
D)-20; minimum
E)8; maximum
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55
A rock attached to a string is whirled horizontally about the origin in a counterclockwise circular path with radius 5 feet. When the string breaks, the rock travels on a linear path perpendicular to the radius OP and hits the wall which is feet away. If the string breaks when the rock is at , find the x -coordinate of the point at which the rock hits the wall.
A)-6
B)-4
C)-7
D)-5
E)-8
feet away. If the string breaks when the rock is at , find the x -coordinate of the point at which the rock hits the wall. A)-6
B)-4
C)-7
D)-5
E)-8
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56
The sum of the length l and the width w of a rectangular region is 250 meters. Find the dimensions that produce the greatest area.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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57
A rental car company purchases an automobile for $21,800. The automobile requires an average cost of $7.05 per day in maintenance. The automobile rents for $45.00 a day. The profit after t days, , is given by the function . After finding the linear function , determine, to the nearest day, how many days it will take the company to break-even assuming the automobile is in use every day.
A)approximately 529 days
B)approximately 625 days
C)approximately 574 days
D)approximately 419 days
E)approximately 497 days
, is given by the function . After finding the linear function , determine, to the nearest day, how many days it will take the company to break-even assuming the automobile is in use every day.A)approximately 529 days
B)approximately 625 days
C)approximately 574 days
D)approximately 419 days
E)approximately 497 days
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58
Find the maximum or minimum value of the function below. State whether this value is a maximum or a minimum.
A)1, a minimum
B)-10, a maximum
C)-10, a minimum
D)10, a maximum
E)10, a minimum
A)1, a minimum
B)-10, a maximum
C)-10, a minimum
D)10, a maximum
E)10, a minimum
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59
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the company s maximum profit to the nearest dollar.
A)$9220
B)$3610
C)$4030
D)$12,610
E)$8480
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the company s maximum profit to the nearest dollar.A)$9220
B)$3610
C)$4030
D)$12,610
E)$8480
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60
An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the profit function.
A)
B)
C)
D)
E)
. The price per parcel, in dollars, the company charges to send x parcels is . Determine the profit function.A)
B)
C)
D)
E)
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61
Evaluate the following composite function if and .
A)49
B)54
C)48
D)47
E)46
and . A)49
B)54
C)48
D)47
E)46
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62
Use the graph of , shown below, to sketch the graph of the function below.
A)
B)
C)
D)
E)
, shown below, to sketch the graph of the function below. A)
B)
C)
D)
E)
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63
Use the graph of g, shown below, to sketch the graph of the function below. g
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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64
Find the difference quotient of .
A)
B)
C)8
D)
E)
.A)
B)
C)8
D)
E)
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65
If and , find and state the domain.
A) ;
B) ;
C) ;
D) ; all real numbers
E) ;
and , find and state the domain.A)
; B)
; C)
; D)
; all real numbersE)
; Unlock Deck
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66
Use the graph of shown below, to sketch the graph of the function below.
A)
B)
C)
D)
E)
shown below, to sketch the graph of the function below. A)
B)
C)
D)
E)
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67
Determine whether is an even function, an odd function, or neither.
A)even function
B)neither
C)odd function
is an even function, an odd function, or neither.A)even function
B)neither
C)odd function
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68
Determine whether the following scatter diagram suggests a linear relationship between x and y , a nonlinear relationship between x and y , or no relationship between x and y .
A)no relationship between x and y
B)linear relationship between x and y
C)nonlinear relationship between x and y
A)no relationship between x and y
B)linear relationship between x and y
C)nonlinear relationship between x and y
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69
Use the graph of E, shown below, to sketch the graph of the function below. E
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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70
Use the graph of n, shown below, to sketch the graph of the function below. n
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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71
Use the graph of E, shown below, to sketch the graph of the function below. E
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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72
Find the difference quotient of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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k this deck
73
Determine whether is an even function, an odd function, or neither.
A)odd function
B)even function
C)neither
is an even function, an odd function, or neither.A)odd function
B)even function
C)neither
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74
Evaluate where and .
A)
B)
C)
D)
E)
where and .A)
B)
C)
D)
E)
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75
Evaluate where and .
A)131
B)59
C)96
D)61
E)31
where and .A)131
B)59
C)96
D)61
E)31
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76
Evaluate where and .
A)-12
B)12
C)4
D)0
E)-61
where and .A)-12
B)12
C)4
D)0
E)-61
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77
A water tank has the shape of a right circular cone with height 18 feet and radius 14 feet. Water is running into the tank so that the radius r (in feet)of the surface of the water is given by where t is the time (in minutes)that the water has been running. The volume V of the water is given by Find and use it to determine the volume of the water when minutes. Round to the nearest tenth.
A)150.8 cubic feet
B)193.9 cubic feet
C)938.3 cubic feet
D)2326.6 cubic feet
E)1407.4 cubic feet
where t is the time (in minutes)that the water has been running. The volume V of the water is given by Find and use it to determine the volume of the water when minutes. Round to the nearest tenth.A)150.8 cubic feet
B)193.9 cubic feet
C)938.3 cubic feet
D)2326.6 cubic feet
E)1407.4 cubic feet
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78
Use the graph of g, shown below, to sketch the graph of the function below. g
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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79
Evaluate where and .
A)-32
B)-16
C)-20
D)-18
E)-2
where and .A)-32
B)-16
C)-20
D)-18
E)-2
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80
Find the difference quotient of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Unlock Deck
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Unlock for access to all 88 flashcards in this deck.
