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Deck 1: Functions, graphs, and Limits
Full screen (f)
Question
Assume that the median sales prices of existing one family homes sold (in thousands of dollars)in the United States from 1990 through 2005 are as given in the following figure.Use the following figure to estimate the percent increase in the value of existing one-family homes from1999 to 2000.Round your answer to the nearest hundredth if necessary.
A) 1.2%
B) 201.21%
C) 101.21%
D) 98.8%
E) 1.21%
A) 1.2%
B) 201.21%
C) 101.21%
D) 98.8%
E) 1.21%
Question
Find x such that the distance between the points 
and 
is 5.
A)
B)
C)
D)
E)
and is 5. A)
B)
C)
D)
E)
Question
Find the x- and y- intercepts of the graph of the equation 
?
A) x- intercepts:
; y- intercepts: 
B) x- intercepts:
, 
; y- intercepts: 
, 
C) x- intercepts:
; y- intercepts: 
D) x- intercepts:
, 
; y- intercepts: 
, 
E) x- intercepts:
; y- intercepts: 
? A) x- intercepts:
; y- intercepts: B) x- intercepts:
, ; y- intercepts: , C) x- intercepts:
; y- intercepts: D) x- intercepts:
, ; y- intercepts: , E) x- intercepts:
; y- intercepts: Question
Copy the points (-2,5),(3,-5),(-4,-1),(4,0),(2,-3)in the Cartesian plane.
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Sketch the graph of the equation: 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Write the general form of the equation of the circle with center 
and solution point 
A)
B)
C)
D)
E)
and solution point A)
B)
C)
D)
E)
Question
Assume that the number (in millions)of cellular telephone subscribers in the United States from 1996 through 2005 is given in the following table.Use a graphing utility to graph a line plot of the given data.Describe any trends that appear within the last four years. 
A) 
The number of subscribers appears to be increasing.
B) 
The number of subscribers appears to be decreasing.
C) 
The number of subscribers appears to be constant.
D) 
The number of subscribers appears to be decreasing
E) 
The number of subscribers appears to be increasing.
A)
The number of subscribers appears to be increasing.
B)
The number of subscribers appears to be decreasing.
C)
The number of subscribers appears to be constant.
D)
The number of subscribers appears to be decreasing
E)
The number of subscribers appears to be increasing.
Question
Assume that the number (in millions)of basic cable television subscribers in the United States from 1996 through 2005 is given in the following table.Use a graphing utility to graph a scatter plot of the given data.Describe any trends that appear within the last four years. 
A) 
The number of subscribers appears to be increasing.
B) 
The number of subscribers appears to be decreasing.
C) 
The number of subscribers appears to be linearly decreasing.
D) 
The number of subscribers appears to be decreasing
E) 
The number of subscribers appears to be linearly increasing.
A)
The number of subscribers appears to be increasing.
B)
The number of subscribers appears to be decreasing.
C)
The number of subscribers appears to be linearly decreasing.
D)
The number of subscribers appears to be decreasing
E)
The number of subscribers appears to be linearly increasing.
Question
Question
Sketch the graph of the equation. 
?
A) 
B) 
C) 
D) 
E) 
? A)
B)
C)
D)
E)
Question
Which of the following is the correct graph of 
?
A) 
B) 
C) 
D) 
E) 
? A)
B)
C)
D)
E)
Question
Sketch the graph of the function 
?
A) 
B) 
C) 
D) 
E) 
? A)
B)
C)
D)
E)
Question
Which of the following is the correct graph of 
?
A) 
B) 
C) 
D) 
E) 
? A)
B)
C)
D)
E)
Question
Question
Use the Midpoint Formula repeatedly to find the three points that divide the segment joining 
and 
into four equal parts.
A)
, 
, 
B)
, 
, 
C)
, 
, 
D)
, 
, 
E)
, 
, 
and into four equal parts. A)
, , B)
, , C)
, , D)
, , E)
, , Question
Which of the following is the correct graph of 
?
A) 
B) 
C) 
D) 
E) 
? A)
B)
C)
D)
E)
Question
Find the x- and y- intercepts of the graph of the equation 
?
A) x- intercepts:
, 
; y- intercepts: 
B) x- intercepts:
, 
; y- intercepts: 
C) x- intercepts:
, 
; y- intercepts: 
, 
D) x- intercepts:
, 
; y- intercepts: 
, 
E) x- intercepts:
; y- intercepts: 
? A) x- intercepts:
, ; y- intercepts: B) x- intercepts:
, ; y- intercepts: C) x- intercepts:
, ; y- intercepts: , D) x- intercepts:
, ; y- intercepts: , E) x- intercepts:
; y- intercepts: Question
Find the length of each side of the right triangle from the following figure. 
A)
, 
, 
B)
, 
, 
C)
, 
, 
D)
, 
, 
E)
, 
, 
A)
, , B)
, , C)
, , D)
, , E)
, , Question
The red figure is translated to a new position in the plane to form the blue figure.Find the vertices of the transformed figure from the following graph.(In case your exam is printed in black and white - the red figure has one vertex at (0,0)).
A) 
, 
, 
B) 
, 
, 
C) 
, 
, 
D) 
, 
, 
E) 
, 
, 
A)
, , B)
, , C)
, , D)
, , E)
, , Question
Which of the following is the correct graph of 
?
A) 
B) 
C) 
D) 
E) 
? A)
B)
C)
D)
E)
Question
Write the equation of the line passing through the given pair of points. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Write the equation of the line passing through the given pair of points. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the slope m and y-intercept b of the line whose equation is given below. 
A) 
, 
B) 
, 
C)
, 
D) 
, 
E) Both m and b are undefined.
A)
, B)
, C)
, D)
, E) Both m and b are undefined.
Question
Estimate the slope of the line from the graph. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the market equilibrium point for the following demand and supply functions below,where p is price per unit and q is the number of units produced and sold. Demand: 
Supply: 
A) 
, 
B) 
, 
C) 
, 
D) 
, 
E) 
, 
Supply: A)
, B)
, C)
, D)
, E)
, Question
Find an equation of the line that passes through the points 
and 
A) 
B) 
C) 
D) 
E) 
and A)
B)
C)
D)
E)
Question
Use the point 
on a line having slope 
to find two additional points through which the line passes.
A)
, 
B)
, 
C)
, 
D)
, 
E)
, 
on a line having slope to find two additional points through which the line passes. A)
, B)
, C)
, D)
, E)
, Question
Estimate the slope of the line from the graph. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the slope of the line passing through the pair of points. 
and 
A)
B)
C)
D)
E) None of the above
and A)
B)
C)
D)
E) None of the above
Question
Find the slope of the line passing through the given pair of points.
A) -12
B) 
C) 2
D) 
E) The slope is undefined.
A) -12
B)
C) 2
D)
E) The slope is undefined.
Question
A small business recaps and sells tires.The business has a revenue function 
and a cost function 
,where x represents the number of sets of four tires recapped and sold.Find the number of sets of recaps that must be sold to break even.
A) 100
B) 300
C) 6
D) 200
E) 65
and a cost function ,where x represents the number of sets of four tires recapped and sold.Find the number of sets of recaps that must be sold to break even. A) 100
B) 300
C) 6
D) 200
E) 65
Question
Find the slope m and y-intercept b of the line whose equation is given below. 
A)
, 
B)
, 
C)
, 
D)
, 
E) Both m and b are undefined.
A)
, B)
, C)
, D)
, E) Both m and b are undefined.
Question
Find the slope of the line passing through the given pair of points.
A) 11
B) 
C) 8
D) 0
E) The slope is undefined.
A) 11
B)
C) 8
D) 0
E) The slope is undefined.
Question
Find the slope m and y-intercept b of the line whose equation is given below. 
A) 
, 
B) 
, 
C) 
, 
D) 
, 
E) 
, 
A)
, B)
, C)
, D)
, E)
, Question
Find the points of intersection (if any)of the graphs of the equations 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
A manufacturer of DVD players has monthly fixed costs of $9000 and variable costs of $45 per unit for one particular model.For this model DVD player,find the function 
for monthly total costs where x denotes the number of units produced and sold.
A) 
B) 
C) 
D) 
E) 
for monthly total costs where x denotes the number of units produced and sold. A)
B)
C)
D)
E)
Question
Find the market equilibrium point for the following demand and supply functions below,where p is price per unit and q is the number of units produced and sold. Demand: 
Supply: 
A) 
, 
B) 
, 
C) 
, 
D) 
, 
E) 
, 
Supply: A)
, B)
, C)
, D)
, E)
, Question
Find the slope of the line passing through the given pair of points.
A) 
B) 1
C) -11
D) 5
E) The slope is undefined.
A)
B) 1
C) -11
D) 5
E) The slope is undefined.
Question
Find the slope m and y-intercept b of the line whose equation is given below. 
A) 
, 
B) 
, 
C)
, 
D) 
, 
E)
, 
A)
, B)
, C)
, D)
, E)
, Question
Write the general form of the equation of the circle with endpoints of a diameter at 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Evaluate (if possible)the function at the given value of the independent variable.Simplify the results. 
, 
A) 101
B) 109
C) -11
D) -3
E) undefined
, A) 101
B) 109
C) -11
D) -3
E) undefined
Question
Write an equation of the line that passes through the point (i)parallel to the given line,and (ii)perpendicular to the given line.
Point: 
Line: 
A) (i) parallel:
(ii) perpendicular:
B) (i) parallel:
(ii) perpendicular:
C) (i) parallel:
(ii) perpendicular:
D) (i) parallel:
(ii) perpendicular:
E) (i)parallel:
(ii)perpendicular:
Point:
Line: A) (i) parallel:
(ii) perpendicular:
B) (i) parallel:
(ii) perpendicular:
C) (i) parallel:
(ii) perpendicular:
D) (i) parallel:
(ii) perpendicular:
E) (i)parallel:
(ii)perpendicular:
Question
If 
find 
A) 
B) 
C) 
D) 
E) 
find A)
B)
C)
D)
E)
Question
Write the equation of the line through 
that is parallel to 
A) 
B) 
C) 
D) 
E) 
that is parallel to A)
B)
C)
D)
E)
Question
Determine the range of the function 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Suppose the resident population of South Carolina (in thousands)was 4,030 in 2000 and 4,256 in 2006.Assume that the relationship between the population y and the year t is linear.Let 
represent 2000.Estimate the population in 2004 by using linear model for the given data.Round your answer to the nearest thousand residents.
A) 4,482 thousand residents
B) 3,879 thousand residents
C) 4,105 thousand residents
D) 4,181 thousand residents
E) 4,407 thousand residents
represent 2000.Estimate the population in 2004 by using linear model for the given data.Round your answer to the nearest thousand residents. A) 4,482 thousand residents
B) 3,879 thousand residents
C) 4,105 thousand residents
D) 4,181 thousand residents
E) 4,407 thousand residents
Question
Write the equation of the line that passes through the given point and has the slope indicated. 
with slope 
A) 
B) 
C) 
D) 
E) 
with slope A)
B)
C)
D)
E)
Question
Write the equation of the line through 
that is perpendicular to 
A) 
B) 
C) 
D)
E) 
that is perpendicular to A)
B)
C)
D)
E)
Question
If 
,is y a function of x?
A) Yes
B) No
,is y a function of x? A) Yes
B) No
Question
Write an equation of the line that passes through the point (i)parallel to the given line,and (ii)perpendicular to the given line.
Point:
Line: 
A) (i) parallel:
(ii) perpendicular:
B) (i) parallel:
(ii) perpendicular:
C) (i) parallel:
(ii) perpendicular:
D) (i) parallel:
(ii) perpendicular:
E) (i)parallel:
(ii)perpendicular:
Point:
Line: A) (i) parallel:
(ii) perpendicular:
B) (i) parallel:
(ii) perpendicular:
C) (i) parallel:
(ii) perpendicular:
D) (i) parallel:
(ii) perpendicular:
E) (i)parallel:
(ii)perpendicular:
Question
Write the equation and graph the line that passes through the given point and has the slope indicated. 
with 0 slope
A) 
B) 
C) 
D) 
E) 
with 0 slope A)
B)
C)
D)
E)
Question
These three points are collinear. 
, 
, 
, , Question
A small business purchases a piece of equipment for $1,740.After 5 years,the equipment will be outdated,having no value.Write a linear equation giving the value V of the equipment in terms of time t in years, 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Question
If 
,is y a function of x?
A) Yes
B) No
,is y a function of x? A) Yes
B) No
Question
Find an equation of the line that passes through the point 
and has the slope m that is undefined.
A) 
B) 
C) 
D) 
E) 
and has the slope m that is undefined. A)
B)
C)
D)
E)
Question
Determine whether y is a function of x.
A) Yes
B) No
A) Yes
B) No
Question
Determine whether y is a function of x.
A) Yes
B) No
A) Yes
B) No
Question
In 2004,a product has a value of $2,175.Over the next five years,its value will increase by $100 per year.Write a linear equation that gives the dollar value V in terms of the year t.(Let t = 0 represent 2000.)
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Determine the range of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Given 
and 
,find 
A) 
B) 
C) 
D) 
E) 
and ,find A)
B)
C)
D)
E)
Question
Given 
and 
,find 
A) 3
B) 17
C) 6
D) -40
E) 14
and ,find A) 3
B) 17
C) 6
D) -40
E) 14
Question
Suppose that 
and 
Find the following limit: 
A) 7
B) 6
C) 0
D) 8
E) 1
and Find the following limit: A) 7
B) 6
C) 0
D) 8
E) 1
Question
Use the Horizontal Line Test to determine whether the functions are one-to-one. 
A) f(x) and g(x) both are one-to-one.
B) f(x) is not one-to-one and g(x) is one-to-one.
C) f(x) and g(x) both are not one-to-one.
D) f(x) is one-to-one and g(x) is not one-to-one.
A) f(x) and g(x) both are one-to-one.
B) f(x) is not one-to-one and g(x) is one-to-one.
C) f(x) and g(x) both are not one-to-one.
D) f(x) is one-to-one and g(x) is not one-to-one.
Question
Use the Vertical Line Test to determine which of the following graphs shows y as a function of x.
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
The inventor of a new game believes that the variable cost for producing the game is $0.98 per unit.The fixed cost is $7000. Find a formula for the average cost per unit 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
A graph of 
is shown and a c-value is given.For this problem,use the graph to find 
A) 6
B) 1.5
C) -3
D) 12
E) does not exist.
is shown and a c-value is given.For this problem,use the graph to find A) 6
B) 1.5
C) -3
D) 12
E) does not exist.
Question
Let 
Determine the following limit.(Hint: Use the graph of the function.) 
A) 3
B) 1
C) 2
D) 4
E) does not exist.
Determine the following limit.(Hint: Use the graph of the function.) A) 3
B) 1
C) 2
D) 4
E) does not exist.
Question
Simplify the expression using the given function definition.
, 
A) 10
B) 6
C) 5
D) 2
E) undefined
, A) 10
B) 6
C) 5
D) 2
E) undefined
Question
Complete the table and use the result to estimate the limit.Round your answer to six decimal places.
A) 0.047619
B) 0.547619
C) 0.422619
D) 0.672619
E) -0.327381
A) 0.047619
B) 0.547619
C) 0.422619
D) 0.672619
E) -0.327381
Question
A manufacturer charges $80 per unit for units that cost $30 to produce.To encourage large orders from distributors,the manufacturer will reduce the price by $0.01 per unit for each unit in excess of 100 units.(For example,an order of 101 units would have a price of $79.99 per unit,and an order of 102 units would have a price of $79.98 per unit.)This price reduction is discontinued when the price per unit drops to $61.Express the price per unit as a function of the order size.
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
A graph of 
is shown and a c-value is given.For this problem,use the graph to find 
A) 0
B) -4
C) 4
D) -2
E) does not exist.
is shown and a c-value is given.For this problem,use the graph to find A) 0
B) -4
C) 4
D) -2
E) does not exist.
Question
Use the graph of 
below to sketch 
A) 
B) 
C) 
D) 
E) 
below to sketch A)
B)
C)
D)
E)
Question
Find the limit (if it exists): 
A) 
B) 
C) 0
D) 
E) 
A)
B)
C) 0
D)
E)
Question
Suppose that 
and 
Find the following limit: 
A) 13
B) 24
C) 2
D) -143
E) 11
and Find the following limit: A) 13
B) 24
C) 2
D) -143
E) 11
Question
Complete the table and use the result to estimate the limit.Round your answer to six decimal places.
A) -0.140000
B) -0.120000
C) -0.380000
D) -0.250000
E) -0.360000
A) -0.140000
B) -0.120000
C) -0.380000
D) -0.250000
E) -0.360000
Question
Use the graph of 
to sketch 
A) 
B) 
C) 
D) 
E) 
to sketch A)
B)
C)
D)
E)
Question
Complete the table and use the result to estimate the limit.Round your answer to six decimal places. 
A)2.474874
B)-2.349874
C)-2.474874
D)2.308207
E)2.224874
A)2.474874
B)-2.349874
C)-2.474874
D)2.308207
E)2.224874
Question
Find 
A) -3
B) 0
C) -∞
D) 3
E) ∞
A) -3
B) 0
C) -∞
D) 3
E) ∞
Question
Find the limit: 
A) -∞
B) ∞
C) 0
D) -1
E) 1
A) -∞
B) ∞
C) 0
D) -1
E) 1
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Deck 1: Functions, graphs, and Limits
1
Assume that the median sales prices of existing one family homes sold (in thousands of dollars)in the United States from 1990 through 2005 are as given in the following figure.Use the following figure to estimate the percent increase in the value of existing one-family homes from1999 to 2000.Round your answer to the nearest hundredth if necessary.
A) 1.2%
B) 201.21%
C) 101.21%
D) 98.8%
E) 1.21%
A) 1.2%
B) 201.21%
C) 101.21%
D) 98.8%
E) 1.21%
1.21%
2
Find x such that the distance between the points and is 5.
A)
B)
C)
D)
E)
and is 5. A)
B)
C)
D)
E)
3
Find the x- and y- intercepts of the graph of the equation ?
A) x- intercepts: ; y- intercepts:
B) x- intercepts: , ; y- intercepts: ,
C) x- intercepts: ; y- intercepts:
D) x- intercepts: , ; y- intercepts: ,
E) x- intercepts: ; y- intercepts:
? A) x- intercepts:
; y- intercepts: B) x- intercepts:
, ; y- intercepts: , C) x- intercepts:
; y- intercepts: D) x- intercepts:
, ; y- intercepts: , E) x- intercepts:
; y- intercepts: x- intercepts: ; y- intercepts:
; y- intercepts: 4
Copy the points (-2,5),(3,-5),(-4,-1),(4,0),(2,-3)in the Cartesian plane.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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5
Sketch the graph of the equation:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Write the general form of the equation of the circle with center and solution point
A)
B)
C)
D)
E)
and solution point A)
B)
C)
D)
E)
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7
Assume that the number (in millions)of cellular telephone subscribers in the United States from 1996 through 2005 is given in the following table.Use a graphing utility to graph a line plot of the given data.Describe any trends that appear within the last four years.
A)
The number of subscribers appears to be increasing.
B)
The number of subscribers appears to be decreasing.
C)
The number of subscribers appears to be constant.
D)
The number of subscribers appears to be decreasing
E)
The number of subscribers appears to be increasing.
A)
The number of subscribers appears to be increasing.
B)
The number of subscribers appears to be decreasing.
C)
The number of subscribers appears to be constant.
D)
The number of subscribers appears to be decreasing
E)
The number of subscribers appears to be increasing.
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8
Assume that the number (in millions)of basic cable television subscribers in the United States from 1996 through 2005 is given in the following table.Use a graphing utility to graph a scatter plot of the given data.Describe any trends that appear within the last four years.
A)
The number of subscribers appears to be increasing.
B)
The number of subscribers appears to be decreasing.
C)
The number of subscribers appears to be linearly decreasing.
D)
The number of subscribers appears to be decreasing
E)
The number of subscribers appears to be linearly increasing.
A)
The number of subscribers appears to be increasing.
B)
The number of subscribers appears to be decreasing.
C)
The number of subscribers appears to be linearly decreasing.
D)
The number of subscribers appears to be decreasing
E)
The number of subscribers appears to be linearly increasing.
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9
Find the distance between the points (-2,-5)and (-7,-10).Round your answer to the nearest hundredth if necessary.
A) 17.49
B) 0
C) 7.07
D) 3.16
E) 50
A) 17.49
B) 0
C) 7.07
D) 3.16
E) 50
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10
Sketch the graph of the equation. ?
A)
B)
C)
D)
E)
? A)
B)
C)
D)
E)
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k this deck
11
Which of the following is the correct graph of ?
A)
B)
C)
D)
E)
? A)
B)
C)
D)
E)
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12
Sketch the graph of the function ?
A)
B)
C)
D)
E)
? A)
B)
C)
D)
E)
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k this deck
13
Which of the following is the correct graph of ?
A)
B)
C)
D)
E)
? A)
B)
C)
D)
E)
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k this deck
14
Find the midpoint of the line segment joining between the points (7,-1)and (2,-6).Round your answer to the nearest hundredth if necessary.
A) (4, 2.5)
B) (4.5, -3.5)
C) (14, 6)
D) (3, -2)
E) none of these choices
A) (4, 2.5)
B) (4.5, -3.5)
C) (14, 6)
D) (3, -2)
E) none of these choices
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15
Use the Midpoint Formula repeatedly to find the three points that divide the segment joining and into four equal parts.
A) , ,
B) , ,
C) , ,
D) , ,
E) , ,
and into four equal parts. A)
, , B)
, , C)
, , D)
, , E)
, , Unlock Deck
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16
Which of the following is the correct graph of ?
A)
B)
C)
D)
E)
? A)
B)
C)
D)
E)
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k this deck
17
Find the x- and y- intercepts of the graph of the equation ?
A) x- intercepts: , ; y- intercepts:
B) x- intercepts: , ; y- intercepts:
C) x- intercepts: , ; y- intercepts: ,
D) x- intercepts: , ; y- intercepts: ,
E) x- intercepts: ; y- intercepts:
? A) x- intercepts:
, ; y- intercepts: B) x- intercepts:
, ; y- intercepts: C) x- intercepts:
, ; y- intercepts: , D) x- intercepts:
, ; y- intercepts: , E) x- intercepts:
; y- intercepts: Unlock Deck
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18
Find the length of each side of the right triangle from the following figure.
A) , ,
B) , ,
C) , ,
D) , ,
E) , ,
A)
, , B)
, , C)
, , D)
, , E)
, , Unlock Deck
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19
The red figure is translated to a new position in the plane to form the blue figure.Find the vertices of the transformed figure from the following graph.(In case your exam is printed in black and white - the red figure has one vertex at (0,0)).
A) , ,
B) , ,
C) , ,
D) , ,
E) , ,
A)
, , B)
, , C)
, , D)
, , E)
, , Unlock Deck
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20
Which of the following is the correct graph of ?
A)
B)
C)
D)
E)
? A)
B)
C)
D)
E)
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21
Write the equation of the line passing through the given pair of points.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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22
Write the equation of the line passing through the given pair of points.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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23
Find the slope m and y-intercept b of the line whose equation is given below.
A) ,
B) ,
C) ,
D) ,
E) Both m and b are undefined.
A)
, B)
, C)
, D)
, E) Both m and b are undefined.
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24
Estimate the slope of the line from the graph.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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25
Find the market equilibrium point for the following demand and supply functions below,where p is price per unit and q is the number of units produced and sold. Demand: Supply:
A) ,
B) ,
C) ,
D) ,
E) ,
Supply: A)
, B)
, C)
, D)
, E)
, Unlock Deck
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26
Find an equation of the line that passes through the points and
A)
B)
C)
D)
E)
and A)
B)
C)
D)
E)
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27
Use the point on a line having slope to find two additional points through which the line passes.
A) ,
B) ,
C) ,
D) ,
E) ,
on a line having slope to find two additional points through which the line passes. A)
, B)
, C)
, D)
, E)
, Unlock Deck
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28
Estimate the slope of the line from the graph.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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29
Find the slope of the line passing through the pair of points. and
A)
B)
C)
D)
E) None of the above
and A)
B)
C)
D)
E) None of the above
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30
Find the slope of the line passing through the given pair of points.
A) -12
B)
C) 2
D)
E) The slope is undefined.
A) -12
B)
C) 2
D)
E) The slope is undefined.
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31
A small business recaps and sells tires.The business has a revenue function and a cost function ,where x represents the number of sets of four tires recapped and sold.Find the number of sets of recaps that must be sold to break even.
A) 100
B) 300
C) 6
D) 200
E) 65
and a cost function ,where x represents the number of sets of four tires recapped and sold.Find the number of sets of recaps that must be sold to break even. A) 100
B) 300
C) 6
D) 200
E) 65
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32
Find the slope m and y-intercept b of the line whose equation is given below.
A) ,
B) ,
C) ,
D) ,
E) Both m and b are undefined.
A)
, B)
, C)
, D)
, E) Both m and b are undefined.
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33
Find the slope of the line passing through the given pair of points.
A) 11
B)
C) 8
D) 0
E) The slope is undefined.
A) 11
B)
C) 8
D) 0
E) The slope is undefined.
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k this deck
34
Find the slope m and y-intercept b of the line whose equation is given below.
A) ,
B) ,
C) ,
D) ,
E) ,
A)
, B)
, C)
, D)
, E)
, Unlock Deck
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35
Find the points of intersection (if any)of the graphs of the equations
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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36
A manufacturer of DVD players has monthly fixed costs of $9000 and variable costs of $45 per unit for one particular model.For this model DVD player,find the function for monthly total costs where x denotes the number of units produced and sold.
A)
B)
C)
D)
E)
for monthly total costs where x denotes the number of units produced and sold. A)
B)
C)
D)
E)
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37
Find the market equilibrium point for the following demand and supply functions below,where p is price per unit and q is the number of units produced and sold. Demand: Supply:
A) ,
B) ,
C) ,
D) ,
E) ,
Supply: A)
, B)
, C)
, D)
, E)
, Unlock Deck
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38
Find the slope of the line passing through the given pair of points.
A)
B) 1
C) -11
D) 5
E) The slope is undefined.
A)
B) 1
C) -11
D) 5
E) The slope is undefined.
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k this deck
39
Find the slope m and y-intercept b of the line whose equation is given below.
A) ,
B) ,
C) ,
D) ,
E) ,
A)
, B)
, C)
, D)
, E)
, Unlock Deck
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40
Write the general form of the equation of the circle with endpoints of a diameter at
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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41
Evaluate (if possible)the function at the given value of the independent variable.Simplify the results. ,
A) 101
B) 109
C) -11
D) -3
E) undefined
, A) 101
B) 109
C) -11
D) -3
E) undefined
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k this deck
42
Write an equation of the line that passes through the point (i)parallel to the given line,and (ii)perpendicular to the given line.
Point: Line:
A) (i) parallel:
(ii) perpendicular:
B) (i) parallel:
(ii) perpendicular:
C) (i) parallel:
(ii) perpendicular:
D) (i) parallel:
(ii) perpendicular:
E) (i)parallel:
(ii)perpendicular:
Point:
Line: A) (i) parallel:
(ii) perpendicular:
B) (i) parallel:
(ii) perpendicular:
C) (i) parallel:
(ii) perpendicular:
D) (i) parallel:
(ii) perpendicular:
E) (i)parallel:
(ii)perpendicular:
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43
If find
A)
B)
C)
D)
E)
find A)
B)
C)
D)
E)
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44
Write the equation of the line through that is parallel to
A)
B)
C)
D)
E)
that is parallel to A)
B)
C)
D)
E)
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k this deck
45
Determine the range of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
46
Suppose the resident population of South Carolina (in thousands)was 4,030 in 2000 and 4,256 in 2006.Assume that the relationship between the population y and the year t is linear.Let represent 2000.Estimate the population in 2004 by using linear model for the given data.Round your answer to the nearest thousand residents.
A) 4,482 thousand residents
B) 3,879 thousand residents
C) 4,105 thousand residents
D) 4,181 thousand residents
E) 4,407 thousand residents
represent 2000.Estimate the population in 2004 by using linear model for the given data.Round your answer to the nearest thousand residents. A) 4,482 thousand residents
B) 3,879 thousand residents
C) 4,105 thousand residents
D) 4,181 thousand residents
E) 4,407 thousand residents
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47
Write the equation of the line that passes through the given point and has the slope indicated. with slope
A)
B)
C)
D)
E)
with slope A)
B)
C)
D)
E)
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48
Write the equation of the line through that is perpendicular to
A)
B)
C)
D)
E)
that is perpendicular to A)
B)
C)
D)
E)
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49
If ,is y a function of x?
A) Yes
B) No
,is y a function of x? A) Yes
B) No
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k this deck
50
Write an equation of the line that passes through the point (i)parallel to the given line,and (ii)perpendicular to the given line.
Point: Line:
A) (i) parallel:
(ii) perpendicular:
B) (i) parallel:
(ii) perpendicular:
C) (i) parallel:
(ii) perpendicular:
D) (i) parallel:
(ii) perpendicular:
E) (i)parallel:
(ii)perpendicular:
Point:
Line: A) (i) parallel:
(ii) perpendicular:
B) (i) parallel:
(ii) perpendicular:
C) (i) parallel:
(ii) perpendicular:
D) (i) parallel:
(ii) perpendicular:
E) (i)parallel:
(ii)perpendicular:
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51
Write the equation and graph the line that passes through the given point and has the slope indicated. with 0 slope
A)
B)
C)
D)
E)
with 0 slope A)
B)
C)
D)
E)
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52
These three points are collinear. , ,
, , Unlock Deck
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53
A small business purchases a piece of equipment for $1,740.After 5 years,the equipment will be outdated,having no value.Write a linear equation giving the value V of the equipment in terms of time t in years,
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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54
Find a linear equation that expresses the relationship between the temperature in degrees Celsius and degrees Fahrenheit.Use the fact that water freezes at 0° C (32° F)and boils at 100° C (212° F ).Use the equation to convert 82° F to Celsius.Round to the nearest degree.
A) 28°C
B) 14°C
C) 63°C
D) 90°C
E) 116°C
A) 28°C
B) 14°C
C) 63°C
D) 90°C
E) 116°C
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55
If ,is y a function of x?
A) Yes
B) No
,is y a function of x? A) Yes
B) No
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56
Find an equation of the line that passes through the point and has the slope m that is undefined.
A)
B)
C)
D)
E)
and has the slope m that is undefined. A)
B)
C)
D)
E)
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57
Determine whether y is a function of x.
A) Yes
B) No
A) Yes
B) No
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58
Determine whether y is a function of x.
A) Yes
B) No
A) Yes
B) No
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k this deck
59
In 2004,a product has a value of $2,175.Over the next five years,its value will increase by $100 per year.Write a linear equation that gives the dollar value V in terms of the year t.(Let t = 0 represent 2000.)
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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60
Determine the range of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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61
Given and ,find
A)
B)
C)
D)
E)
and ,find A)
B)
C)
D)
E)
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62
Given and ,find
A) 3
B) 17
C) 6
D) -40
E) 14
and ,find A) 3
B) 17
C) 6
D) -40
E) 14
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63
Suppose that and Find the following limit:
A) 7
B) 6
C) 0
D) 8
E) 1
and Find the following limit: A) 7
B) 6
C) 0
D) 8
E) 1
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k this deck
64
Use the Horizontal Line Test to determine whether the functions are one-to-one.
A) f(x) and g(x) both are one-to-one.
B) f(x) is not one-to-one and g(x) is one-to-one.
C) f(x) and g(x) both are not one-to-one.
D) f(x) is one-to-one and g(x) is not one-to-one.
A) f(x) and g(x) both are one-to-one.
B) f(x) is not one-to-one and g(x) is one-to-one.
C) f(x) and g(x) both are not one-to-one.
D) f(x) is one-to-one and g(x) is not one-to-one.
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65
Use the Vertical Line Test to determine which of the following graphs shows y as a function of x.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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66
The inventor of a new game believes that the variable cost for producing the game is $0.98 per unit.The fixed cost is $7000. Find a formula for the average cost per unit
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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67
A graph of is shown and a c-value is given.For this problem,use the graph to find
A) 6
B) 1.5
C) -3
D) 12
E) does not exist.
is shown and a c-value is given.For this problem,use the graph to find A) 6
B) 1.5
C) -3
D) 12
E) does not exist.
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k this deck
68
Let Determine the following limit.(Hint: Use the graph of the function.)
A) 3
B) 1
C) 2
D) 4
E) does not exist.
Determine the following limit.(Hint: Use the graph of the function.) A) 3
B) 1
C) 2
D) 4
E) does not exist.
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k this deck
69
Simplify the expression using the given function definition.
,
A) 10
B) 6
C) 5
D) 2
E) undefined
, A) 10
B) 6
C) 5
D) 2
E) undefined
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70
Complete the table and use the result to estimate the limit.Round your answer to six decimal places.
A) 0.047619
B) 0.547619
C) 0.422619
D) 0.672619
E) -0.327381
A) 0.047619
B) 0.547619
C) 0.422619
D) 0.672619
E) -0.327381
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71
A manufacturer charges $80 per unit for units that cost $30 to produce.To encourage large orders from distributors,the manufacturer will reduce the price by $0.01 per unit for each unit in excess of 100 units.(For example,an order of 101 units would have a price of $79.99 per unit,and an order of 102 units would have a price of $79.98 per unit.)This price reduction is discontinued when the price per unit drops to $61.Express the price per unit as a function of the order size.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
72
A graph of is shown and a c-value is given.For this problem,use the graph to find
A) 0
B) -4
C) 4
D) -2
E) does not exist.
is shown and a c-value is given.For this problem,use the graph to find A) 0
B) -4
C) 4
D) -2
E) does not exist.
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73
Use the graph of below to sketch
A)
B)
C)
D)
E)
below to sketch A)
B)
C)
D)
E)
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74
Find the limit (if it exists):
A)
B)
C) 0
D)
E)
A)
B)
C) 0
D)
E)
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75
Suppose that and Find the following limit:
A) 13
B) 24
C) 2
D) -143
E) 11
and Find the following limit: A) 13
B) 24
C) 2
D) -143
E) 11
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76
Complete the table and use the result to estimate the limit.Round your answer to six decimal places.
A) -0.140000
B) -0.120000
C) -0.380000
D) -0.250000
E) -0.360000
A) -0.140000
B) -0.120000
C) -0.380000
D) -0.250000
E) -0.360000
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77
Use the graph of to sketch
A)
B)
C)
D)
E)
to sketch A)
B)
C)
D)
E)
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78
Complete the table and use the result to estimate the limit.Round your answer to six decimal places.
A)2.474874
B)-2.349874
C)-2.474874
D)2.308207
E)2.224874
A)2.474874
B)-2.349874
C)-2.474874
D)2.308207
E)2.224874
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79
Find
A) -3
B) 0
C) -∞
D) 3
E) ∞
A) -3
B) 0
C) -∞
D) 3
E) ∞
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80
Find the limit:
A) -∞
B) ∞
C) 0
D) -1
E) 1
A) -∞
B) ∞
C) 0
D) -1
E) 1
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k this deck
Unlock Deck
Unlock for access to all 427 flashcards in this deck.
