Question 1

Find ( f - g )(x).

Accepted Answer

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

Question 2

Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (1, 2), (1, 4)
L2 : (-7, -8), (-9, -8)

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither 
A)  parallel 
B)  perpendicular 
C)  neither B

Question 3

The national defense budget expenses   (in billions of dollars) for veterans in the United States from 1990 to 2005 can be approximated by the model   where   represents the year, with   corresponding to 1990.Use the model to find total veteran expenses in 2002.

Accepted Answer

A)  $51.904 billion 
B)  $51.344 billion 
C)  $12.404 billion 
D)  $37.550 billion 
E)  $30.100 billion 
A)  $51.904 billion 
B)  $51.344 billion 
C)  $12.404 billion 
D)  $37.550 billion 
E)  $30.100 billion B

Question 4

Use the graph of   to write equations for the functions whose graphs are shown.

Accepted Answer

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

Question 5

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

Accepted Answer

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

Question 6

Find (f/g)(x).

Accepted Answer

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

Question 7

Describe the increasing, decreasing, and constant behavior of the function.Find the point or points where the behavior of the function changes.

Accepted Answer

A)  Increasing on  
No change in the graph's behaviour 
B)  Decreasing on  
Incresing on  
The graph's behaviour changes at the point   
C)  Increasing on   and  
Decresing on  
The graph's behaviour changes at the points   and   
D)  Decreasing on  
Increasing on  
The graph's behaviour changes at the points   and   
E)  Decreasing on  
Incresing on  
The graph's behaviour changes at the point   
A)  Increasing on  
No change in the graph's behaviour 
B)  Decreasing on  
Incresing on  
The graph's behaviour changes at the point   
C)  Increasing on   and  
Decresing on  
The graph's behaviour changes at the points   and   
D)  Decreasing on  
Increasing on  
The graph's behaviour changes at the points   and   
E)  Decreasing on  
Incresing on  
The graph's behaviour changes at the point

Question 8

Graph the following equation by plotting points that satisfy the equation.

Accepted Answer

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

Question 9

Consider the graph of   Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of   is shifted three units to the left.

Accepted Answer

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

Question 10

Find (f + g)(x). f (x) = -2x2 - x - 7
G(x) = -x2 - 4x + 7

Accepted Answer

A)  ( f + g)(x) = -x4 + 3x2 - 14 
B)  ( f + g)(x) = -3x4 - 5x2 
C)  ( f + g)(x) = -x2 + 3x - 14 
D)  ( f + g)(x) = -3x2 - 5x 
E)  ( f + g)(x) = 3x2 + 5x 
A)  ( f + g)(x) = -x4 + 3x2 - 14 
B)  ( f + g)(x) = -3x4 - 5x2 
C)  ( f + g)(x) = -x2 + 3x - 14 
D)  ( f + g)(x) = -3x2 - 5x 
E)  ( f + g)(x) = 3x2 + 5x

Question 11

Consider the graph of   Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of   is reflected in the x-axis, shifted five units to the left, and shifted four unit upward.

Accepted Answer

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

Question 12

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 13

Find the distance between the points.Round to the nearest hundredth, if necessary. (9, 2), (5, 5)

Accepted Answer

A)  15.65 
B)  14.32 
C)  5 
D)  8.06 
E)  7 
A)  15.65 
B)  14.32 
C)  5 
D)  8.06 
E)  7

Question 14

Evaluate the function at the specified value of the independent variable and simplify. f (y) = 6y + 3; f (0.8)

Accepted Answer

A)  4.8y + 18 
B)  1.8 
C)  7.8 
D)  0.8y + 3 
E)  0.8y - 3 
A)  4.8y + 18 
B)  1.8 
C)  7.8 
D)  0.8y + 3 
E)  0.8y - 3

Question 15

Use the graphs of f and g to evaluate the function.

Accepted Answer

A)  1 
B)  -2 
C)  4 
D)  -1 
E)  2 
A)  1 
B)  -2 
C)  4 
D)  -1 
E)  2

Question 16

The weekly profit   (in hundreds of dollars) for a business from a product is given by the model     where   is the amount (in hundreds of dollars) spent on advertising.Rewrite the profit equation so that   measures advertising expenditures in dollars.

Accepted Answer

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

Question 17

Given   find

Accepted Answer

A)  320 
B)  -41 
C)  321 
D)  -81 
E)  319 
A)  320 
B)  -41 
C)  321 
D)  -81 
E)  319

Question 18

The marketing department of a company estimates that the demand for a product is given by   where   is the price per unit and   is the number of units.The cost   of producing   units is given by   and the profit   for producing and selling   units is given by   Sketch the graph of the profit function and estimate the number of units that would produce a maximum profit.

Accepted Answer

A)  590,000 units 
B)  600,000 units 
C)  640,000 units 
D)  520,000 units 
E)  620,000 units 
A)  590,000 units 
B)  600,000 units 
C)  640,000 units 
D)  520,000 units 
E)  620,000 units

Question 19

Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (-5, -5), (4, 6)
L2 : (-9, 8), (-18, -3)

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither 
A)  parallel 
B)  perpendicular 
C)  neither

Question 20

Evaluate   where   and

Accepted Answer

A)  8 
B)  -2 
C)  -14 
D)  -6 
E)  -10 
A)  8 
B)  -2 
C)  -14 
D)  -6 
E)  -10

Find ( f - g )(x).

Determine whether lines L₁ and L₂ passing through the pairs of points are parallel, perpendicular, or neither. L₁: (1, 2), (1, 4) L₂: (-7, -8), (-9, -8)

The national defense budget expenses (in billions of dollars) for veterans in the United States from 1990 to 2005 can be approximated by the model where represents the year, with corresponding to 1990.Use the model to find total veteran expenses in 2002.

Use the graph of to write equations for the functions whose graphs are shown.

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

Find (f/g)(x).

Describe the increasing, decreasing, and constant behavior of the function.Find the point or points where the behavior of the function changes.

Graph the following equation by plotting points that satisfy the equation.

Consider the graph of Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of is shifted three units to the left.

Find (f + g)(x). f (x) = -2x² - x - 7 G(x) = -x² - 4x + 7

Consider the graph of Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of is reflected in the x-axis, shifted five units to the left, and shifted four unit upward.

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

Find the distance between the points.Round to the nearest hundredth, if necessary. (9, 2), (5, 5)

Evaluate the function at the specified value of the independent variable and simplify. f (y) = 6y + 3; f (0.8)

Use the graphs of f and g to evaluate the function.

The weekly profit (in hundreds of dollars) for a business from a product is given by the model where is the amount (in hundreds of dollars) spent on advertising.Rewrite the profit equation so that measures advertising expenditures in dollars.

Given find

Determine whether lines L₁ and L₂ passing through the pairs of points are parallel, perpendicular, or neither. L₁: (-5, -5), (4, 6) L₂: (-9, 8), (-18, -3)

Evaluate where and

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

Exam 2: Functions and Graphs

Find ( f - g )(x).

Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (1, 2), (1, 4) L2 : (-7, -8), (-9, -8)

The national defense budget expenses (in billions of dollars) for veterans in the United States from 1990 to 2005 can be approximated by the model where represents the year, with corresponding to 1990.Use the model to find total veteran expenses in 2002.

Use the graph of to write equations for the functions whose graphs are shown.

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

Find (f/g)(x).

Describe the increasing, decreasing, and constant behavior of the function.Find the point or points where the behavior of the function changes.

Graph the following equation by plotting points that satisfy the equation.

Consider the graph of Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of is shifted three units to the left.

Find (f + g)(x). f (x) = -2x2 - x - 7 G(x) = -x2 - 4x + 7

Consider the graph of Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of is reflected in the x-axis, shifted five units to the left, and shifted four unit upward.

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

Find the distance between the points.Round to the nearest hundredth, if necessary. (9, 2), (5, 5)

Evaluate the function at the specified value of the independent variable and simplify. f (y) = 6y + 3; f (0.8)

Use the graphs of f and g to evaluate the function.

The weekly profit (in hundreds of dollars) for a business from a product is given by the model where is the amount (in hundreds of dollars) spent on advertising.Rewrite the profit equation so that measures advertising expenditures in dollars.

Given find

Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (-5, -5), (4, 6) L2 : (-9, 8), (-18, -3)

Evaluate where and

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

Determine whether lines L₁ and L₂ passing through the pairs of points are parallel, perpendicular, or neither. L₁: (1, 2), (1, 4) L₂: (-7, -8), (-9, -8)

Find (f + g)(x). f (x) = -2x² - x - 7 G(x) = -x² - 4x + 7

Determine whether lines L₁ and L₂ passing through the pairs of points are parallel, perpendicular, or neither. L₁: (-5, -5), (4, 6) L₂: (-9, 8), (-18, -3)