Question 1

Find an equation of a circle that satisfies the following condition.Write your answer in standard form. Center:   ; passing through

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

The monthly cost C of running the machinery in a factory for t hours is given by   The number of hours t needed to produce x products is given by   Find the equation representing the cost C of manufacturing x products.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Evaluate   where   and

Accepted Answer

A)  -1404 
B)  324 
C)  1404 
D)  0 
E)  1173 
A)  -1404 
B)  324 
C)  1404 
D)  0 
E)  1173

Question 4

Use the graph of   to write an equation for the function whose graphs is shown below.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Use a graphing utility to graph the function and determine whether the function is even, odd, or neither.

Accepted Answer

A)  Neither even nor odd   
B)  Odd   
C)  Even   
D)  Neither even nor odd   
E)  Even   
A)  Neither even nor odd   
B)  Odd   
C)  Even   
D)  Neither even nor odd   
E)  Even

Question 6

Given   , use the algebraic tests to determine symmetry with respect to both axes and the origin.

Accepted Answer

A)  y-axis symmetry only 
B)  x-axis symmetry only 
C)  origin symmetry only 
D)  x-axis, y-axis, and origin symmetry 
E)  no symmetry 
A)  y-axis symmetry only 
B)  x-axis symmetry only 
C)  origin symmetry only 
D)  x-axis, y-axis, and origin symmetry 
E)  no symmetry

Question 7

Which of the following graphs below can be approximated by a linear model? I   II   III

Accepted Answer

A)  None can be modeled linearly. 
B)  Only graphs II and III can be modeled linearly. 
C)  Only graph III can be modeled linearly. 
D)  Only graphs I and II can be modeled linearly. 
E)  Only graph I can be modeled linearly. 
A)  None can be modeled linearly. 
B)  Only graphs II and III can be modeled linearly. 
C)  Only graph III can be modeled linearly. 
D)  Only graphs I and II can be modeled linearly. 
E)  Only graph I can be modeled linearly.

Question 8

After opening the parachute, the descent of a parachutist follows a linear model.At 7:28 P.M., the height of the parachutist is 6150 feet.At 7:31 P.M., the height is 3450 feet.Use a linear equation that gives the height of the parachutist in terms of the time to find the time when the parachutist will reach the ground.

Accepted Answer

A)  7:33:30 P.M. 
B)  7:34:50 P.M. 
C)  7:32:00 P.M. 
D)  7:37:30 P.M. 
E)  7:31:00 P.M. 
A)  7:33:30 P.M. 
B)  7:34:50 P.M. 
C)  7:32:00 P.M. 
D)  7:37:30 P.M. 
E)  7:31:00 P.M.

Question 9

Plot the points and find the slope of the line passing through the pair of points. (3, -2), (-4, -2)

Accepted Answer

A)  slope: 0 
B)  slope: 1 
C)  slope: -7 
D)  slope:   
E)  slope: undefined 
A)  slope: 0 
B)  slope: 1 
C)  slope: -7 
D)  slope:   
E)  slope: undefined

Question 10

Find the slope of the line that passes through the points

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

Evaluate   where   and

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

You own two fast-food restaurants.During the years 2000 to 2008, the sales for the first restaurant have been increasing according to the function     where   represents the sales (in thousands of dollars) and   represents the year, with   corresponding to 2000.During the same nine-year period, the sales for the second restaurant have been decreasing according to the function     Write a function that represents the total sales for the two restaurants to determine whether the total sales have been increasing or decreasing.

Accepted Answer

A)    total sales have been decreasing. 
B)    total sales have been increasing. 
C)    total sales have been decreasing. 
D)    total sales have been increasing. 
E)    total sales have been decreasing. 
A)    total sales have been decreasing. 
B)    total sales have been increasing. 
C)    total sales have been decreasing. 
D)    total sales have been increasing. 
E)    total sales have been decreasing.

Question 13

Find   such that the distance between the point   and   is 10.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Find the domain of the function.

Accepted Answer

A)  -9 < y $\le$ 9 
B)  y $\le$ -9 or y $\ge$ 9 
C)  y $\ge$ 0 
D)  y $\le$ 9 
E)  all real numbers 
A)  -9 < y $\le$ 9 
B)  y $\le$ -9 or y $\ge$ 9 
C)  y $\ge$ 0 
D)  y $\le$ 9 
E)  all real numbers

Question 15

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is   x-intercept: (3, 0) y-intercept: (0, 5)

Accepted Answer

A)  5x + 3y = 1 
B)    
C)    
D)  3x + 5y = 15 
E)  5x + 3y = 15 
A)  5x + 3y = 1 
B)    
C)    
D)  3x + 5y = 15 
E)  5x + 3y = 15

Question 16

Graph y as a function of x by finding the slope and y-intercept of the line below.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

The cost of sending an overnight package from New York to Atlanta is $9.80 for up to, but not including, the first pound and $3.50 for each additional pound (or portion of a pound).A model for the total cost   of sending the package is     where   is the weight of the package (in pounds).Sketch the graph of this function. Note that the function   is the greatest integer function.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 18

Identify the transformation shown in the graph and identify the associated common function.Write the equation of the graphed function.

Accepted Answer

A)  Common function:  
Transformation: horizontal shift 2 units to the right
Equation:   
B)  Common function:  
Transformation: multiplied by   shrinking
Equation:   
C)  Common function:  
Transformation: reflection about the x-axis
Equation:   
D)  Common function:  
Transformation:   is 7.
Equation:   
E)  Common function:  
Transformation: reflection about the x-axis and a vertical shift 1 unit upward
Equation:   
A)  Common function:  
Transformation: horizontal shift 2 units to the right
Equation:   
B)  Common function:  
Transformation: multiplied by   shrinking
Equation:   
C)  Common function:  
Transformation: reflection about the x-axis
Equation:   
D)  Common function:  
Transformation:   is 7.
Equation:   
E)  Common function:  
Transformation: reflection about the x-axis and a vertical shift 1 unit upward
Equation:

Question 19

Find the x- and y-intercepts of the graph of the following equation.

Accepted Answer

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 20

Given   find

Accepted Answer

A)  33 
B)  21 
C)  45 
D)  36 
E)  27 
A)  33 
B)  21 
C)  45 
D)  36 
E)  27

Find an equation of a circle that satisfies the following condition.Write your answer in standard form. Center: ; passing through

The monthly cost C of running the machinery in a factory for t hours is given by The number of hours t needed to produce x products is given by Find the equation representing the cost C of manufacturing x products.

Evaluate where and

Use the graph of to write an equation for the function whose graphs is shown below.

Use a graphing utility to graph the function and determine whether the function is even, odd, or neither.

Given , use the algebraic tests to determine symmetry with respect to both axes and the origin.

Which of the following graphs below can be approximated by a linear model? I II III

Plot the points and find the slope of the line passing through the pair of points. (3, -2), (-4, -2)

Find the slope of the line that passes through the points

Evaluate where and

Find such that the distance between the point and is 10.

Find the domain of the function.

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is x-intercept: (3, 0) y-intercept: (0, 5)

Graph y as a function of x by finding the slope and y-intercept of the line below.

Identify the transformation shown in the graph and identify the associated common function.Write the equation of the graphed function.

Find the x- and y-intercepts of the graph of the following equation.

Given find

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Exam 2: Functions and Graphs

Find an equation of a circle that satisfies the following condition.Write your answer in standard form. Center: ; passing through

The monthly cost C of running the machinery in a factory for t hours is given by The number of hours t needed to produce x products is given by Find the equation representing the cost C of manufacturing x products.

Evaluate where and

Use the graph of to write an equation for the function whose graphs is shown below.

Use a graphing utility to graph the function and determine whether the function is even, odd, or neither.

Given , use the algebraic tests to determine symmetry with respect to both axes and the origin.

Which of the following graphs below can be approximated by a linear model? I II III

Plot the points and find the slope of the line passing through the pair of points. (3, -2), (-4, -2)

Find the slope of the line that passes through the points

Evaluate where and

Find such that the distance between the point and is 10.

Find the domain of the function.

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is x-intercept: (3, 0) y-intercept: (0, 5)

Graph y as a function of x by finding the slope and y-intercept of the line below.

Identify the transformation shown in the graph and identify the associated common function.Write the equation of the graphed function.

Find the x- and y-intercepts of the graph of the following equation.

Given find

Fundamental Concepts of Algebra

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters