Question 1

Find the inverse of the function.
-f(x) =

Accepted Answer

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

Question 2

Use the vertical line test to determine whether y is a function of x.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 3

Find the inverse of the function.
-f(x) =

Accepted Answer

A)    
B)    
C)    
D)  Not invertible 
A)    
B)    
C)    
D)  Not invertible

Question 4

Find the difference quotient,   , for the function and simplify it.
-q(x) =

Accepted Answer

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

Question 5

Find the specified domain.
-For f(x) =   and g(x) =   , what is the domain of f · g ?

Accepted Answer

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

Question 6

Graph the pair of functions on the same plane. Use a dashed line for g(x).
-

Accepted Answer

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

Question 7

Graph the pair of functions on the same plane. Use a dashed line for g(x).
-

Accepted Answer

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

Question 8

Graph the function as a solid curve and its inverse as a dashed curve.
-f(x) = 2x + 2

Accepted Answer

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

Question 9

Find the requested composition of functions.
-Given f(x) =   and g(x) =   , find   (x).

Accepted Answer

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

Question 10

Decide whether or not the functions are inverses of each other.
-f(x) = 9x - 9, g(x) =   + 1

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 11

Solve the problem.
-If f varies jointly as   and h, and f = -16 when q = 2 and h = 2, find f when q = 4 and h = 5.

Accepted Answer

A)  f = -40 
B)  f = -32 
C)  f = -160 
D)  f = -10 
A)  f = -40 
B)  f = -32 
C)  f = -160 
D)  f = -10

Question 12

Write the equation of the graph after the indicated transformation(s).
-The graph of   is translated 3 units to the right.

Accepted Answer

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

Question 13

Graph the equation by plotting ordered pairs of numbers.
-

Accepted Answer

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

Question 14

Solve the problem.
-Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $4500 in 1982 and $63,000 in 1987. Let x = 0 represent 1982. Find the equation giving yearly sales S(x).

Accepted Answer

A)  S(x) = 58,500x + 4500 
B)  S(x) = 11,700x + 4500 
C)  S(x) = 11,700x + 63,000 
D)  S(x) = 58,500x + 63,000 
A)  S(x) = 58,500x + 4500 
B)  S(x) = 11,700x + 4500 
C)  S(x) = 11,700x + 63,000 
D)  S(x) = 58,500x + 63,000

Question 15

Write the equation of the graph after the indicated transformation(s).
-The graph of y = x is vertically stretched by a factor of 5.1. This graph is then reflected across the x-axis. Finally, the graph is shifted 0.42 units downward.

Accepted Answer

A)  y = -5.1 x - 0.42 
B)  y = 5.1 x - 0.42 
C)    
D)    
A)  y = -5.1 x - 0.42 
B)  y = 5.1 x - 0.42 
C)    
D)

Question 16

Provide an appropriate response.
-True or false? If f is a one-to-one function and the graph of f lies completely within the first quadrant, then the
graph of   lies completely within the first quadrant.

Accepted Answer

A) True 
 B)False

Question 17

Determine the intervals on which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)    
B)    
C)    Decreasing on   
D)    ; Decreasing on   
A)    
B)    
C)    Decreasing on   
D)    ; Decreasing on

Question 18

Solve the problem.
-If f varies jointly as   and h, and f = 54 when q = 3 and h = 3, find k.

Accepted Answer

A)  k = 3 
B)  k = 2 
C)  k = 6 
D)  k = 48 
A)  k = 3 
B)  k = 2 
C)  k = 6 
D)  k = 48

Question 19

The graph of a function f is given. On the same axes, sketch the graph of   .
-

Accepted Answer

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

Question 20

Find functions f and g so that F(x) =   (x).
-F(x) =

Accepted Answer

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

Find the inverse of the function. -f(x) =

Use the vertical line test to determine whether y is a function of x. -

Find the inverse of the function. -f(x) =

Find the difference quotient, , for the function and simplify it. -q(x) =

Find the specified domain. -For f(x) = and g(x) = , what is the domain of f · g ?

Graph the pair of functions on the same plane. Use a dashed line for g(x). -

Graph the pair of functions on the same plane. Use a dashed line for g(x). -

Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = 2x + 2

Find the requested composition of functions. -Given f(x) = and g(x) = , find (x).

Decide whether or not the functions are inverses of each other. -f(x) = 9x - 9, g(x) = + 1

Solve the problem. -If f varies jointly as and h, and f = -16 when q = 2 and h = 2, find f when q = 4 and h = 5.

Write the equation of the graph after the indicated transformation(s). -The graph of is translated 3 units to the right.

Graph the equation by plotting ordered pairs of numbers. -

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $4500 in 1982 and $63,000 in 1987. Let x = 0 represent 1982. Find the equation giving yearly sales S(x).

Write the equation of the graph after the indicated transformation(s). -The graph of y = x is vertically stretched by a factor of 5.1. This graph is then reflected across the x-axis. Finally, the graph is shifted 0.42 units downward.

Provide an appropriate response. -True or false? If f is a one-to-one function and the graph of f lies completely within the first quadrant, then the graph of lies completely within the first quadrant.

Determine the intervals on which the function is increasing, decreasing, and constant. -

Solve the problem. -If f varies jointly as and h, and f = 54 when q = 3 and h = 3, find k.

The graph of a function f is given. On the same axes, sketch the graph of . -

Find functions f and g so that F(x) = (x). -F(x) =

Equations, Inequalities, and Modeling

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 2: Functions and Graphs

Find the inverse of the function. -f(x) =

Use the vertical line test to determine whether y is a function of x. -

Find the inverse of the function. -f(x) =

Find the difference quotient, , for the function and simplify it. -q(x) =

Find the specified domain. -For f(x) = and g(x) = , what is the domain of f · g ?

Graph the pair of functions on the same plane. Use a dashed line for g(x). -

Graph the pair of functions on the same plane. Use a dashed line for g(x). -

Graph the function as a solid curve and its inverse as a dashed curve. -f(x) = 2x + 2

Find the requested composition of functions. -Given f(x) = and g(x) = , find (x).

Decide whether or not the functions are inverses of each other. -f(x) = 9x - 9, g(x) = + 1

Solve the problem. -If f varies jointly as and h, and f = -16 when q = 2 and h = 2, find f when q = 4 and h = 5.

Write the equation of the graph after the indicated transformation(s). -The graph of is translated 3 units to the right.

Graph the equation by plotting ordered pairs of numbers. -

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $4500 in 1982 and $63,000 in 1987. Let x = 0 represent 1982. Find the equation giving yearly sales S(x).

Write the equation of the graph after the indicated transformation(s). -The graph of y = x is vertically stretched by a factor of 5.1. This graph is then reflected across the x-axis. Finally, the graph is shifted 0.42 units downward.

Provide an appropriate response. -True or false? If f is a one-to-one function and the graph of f lies completely within the first quadrant, then the graph of lies completely within the first quadrant.

Determine the intervals on which the function is increasing, decreasing, and constant. -

Solve the problem. -If f varies jointly as and h, and f = 54 when q = 3 and h = 3, find k.

The graph of a function f is given. On the same axes, sketch the graph of . -

Find functions f and g so that F(x) = (x). -F(x) =

Equations, Inequalities, and Modeling

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters