Question 1

Which point on the graph corresponds to the ordered pair (3, -2)?

Accepted Answer

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

Question 2

The graph of f(x) is shown below. Which alternative corresponds to the graph of g(x) = -f(x)?

Accepted Answer

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

Question 3

Suppose f(x) = x2 + 20, where the domain of f equals
    . Find the range of f.

Accepted Answer

Question 4

Assume that f is the function with domain [-4, 4] whose graph is shown below. Estimate the value of 
   
 .

Accepted Answer

The answer of Assume that f is the function with...

Question 5

Assume that f is the function with domain [-3, 3] whose graph is shown below. Estimate the value of f(1).

Accepted Answer

The answer of Assume that f is the function with...

Question 6

Suppose that h is defined by 
    . What is the range of h if the domain of h is the interval (1, 8]?

Accepted Answer

The answer of Suppose that h is defined by 
...

Question 7

For    and   , find a formula for    . Simplify your results as much as possible.

Accepted Answer

The answer of For    and  ...

Question 8

Suppose   
 . Evaluate f -1(14).

Accepted Answer

Question 9

Choose the composite of functions that would create the graph:

Accepted Answer

A) 
  For  And   
B) 
  For  And   
C) 
  For  And   
D) 
  For  And   
A) 
  For  And   
B) 
  For  And   
C) 
  For  And   
D) 
  For  And

Question 10

For    and   , find a formula for   
 . Simplify your results as much as possible.

Accepted Answer

The answer of For    and  ...

Question 11

The sum of two decreasing functions is decreasing.

Accepted Answer

A) True 
 B)False

Question 12

Consider the function f with domain [0, 12] whose graph is shown below.
   
A) What is the largest interval contained in the domain of f on which f is decreasing?
B) Let h denote the function obtained from f by restricting the domain to the interval in part (a). What is the range of h -1 ?

Accepted Answer

Part A: [9

Question 13

Suppose that f is the function defined by the table below. The number 6 is in the domain of f.

Accepted Answer

A) True 
 B)False

Question 14

Suppose that f and g are the functions defined by the tables below. Give the table of values of 
   
 .

Accepted Answer

The answer of Suppose that f and g are the...

Question 15

Suppose f(x) = 43x + 1. Find a formula for f -1.

Accepted Answer

Question 16

Assume that f the function defined by
    .Evaluate
   
 .

Accepted Answer

The answer of Assume that f the function defined by
...

Question 17

Assume that f is a function whose domain is the interval 
   , whose range is the interval
   , and whose graph is the figure below. For g(x) = f(x + 2) + 2,

A) find the domain of g.
B) find the range of g.
C) sketch the graph of g.

Accepted Answer

Part A:
 @#IMG-DLM&

Question 18

Find a number b such that     , where   and   
 .

Accepted Answer

The answer of Find a number b such that ...

Question 19

Sketch the graph of g -1, where g is the function defined by the table below.

Accepted Answer

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

Question 20

Choose the function that is equal to

Accepted Answer

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

Which point on the graph corresponds to the ordered pair (3, -2)?

The graph of f(x) is shown below. Which alternative corresponds to the graph of g(x) = -f(x)?

Suppose f(x) = x² + 20, where the domain of f equals . Find the range of f.

Assume that f is the function with domain [-4, 4] whose graph is shown below. Estimate the value of .

Assume that f is the function with domain [-3, 3] whose graph is shown below. Estimate the value of f(1).

Suppose that h is defined by . What is the range of h if the domain of h is the interval (1, 8]?

For and , find a formula for . Simplify your results as much as possible.

Suppose . Evaluate f^-¹(14).

Choose the composite of functions that would create the graph:

For and , find a formula for . Simplify your results as much as possible.

The sum of two decreasing functions is decreasing.

Consider the function f with domain [0, 12] whose graph is shown below. A) What is the largest interval contained in the domain of f on which f is decreasing? B) Let h denote the function obtained from f by restricting the domain to the interval in part (a). What is the range of h ^-¹ ?

Suppose that f is the function defined by the table below. The number 6 is in the domain of f.

Suppose that f and g are the functions defined by the tables below. Give the table of values of .

Suppose f(x) = 43x + 1. Find a formula for f^-¹.

Assume that f the function defined by .Evaluate .

Assume that f is a function whose domain is the interval , whose range is the interval , and whose graph is the figure below. For g(x) = f(x + 2) + 2, A) find the domain of g. B) find the range of g. C) sketch the graph of g.

Find a number b such that , where and .

Sketch the graph of g^-¹, where g is the function defined by the table below.

Choose the function that is equal to

The Real Numbers

Linear, Quadratic, Polynomial, and Rational Functions

Exponential Functions, Logarithms, and E

Trigonometric Functions

Trigonometric Algebra and Geometry

Sequences, Series, and Limits

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Exam 2: Functions and Their Graphs

Which point on the graph corresponds to the ordered pair (3, -2)?

The graph of f(x) is shown below. Which alternative corresponds to the graph of g(x) = -f(x)?

Suppose f(x) = x2 + 20, where the domain of f equals . Find the range of f.

Assume that f is the function with domain [-4, 4] whose graph is shown below. Estimate the value of .

Assume that f is the function with domain [-3, 3] whose graph is shown below. Estimate the value of f(1).

Suppose that h is defined by . What is the range of h if the domain of h is the interval (1, 8]?

For and , find a formula for . Simplify your results as much as possible.

Suppose . Evaluate f -1(14).

Choose the composite of functions that would create the graph:

For and , find a formula for . Simplify your results as much as possible.

The sum of two decreasing functions is decreasing.

Consider the function f with domain [0, 12] whose graph is shown below. A) What is the largest interval contained in the domain of f on which f is decreasing? B) Let h denote the function obtained from f by restricting the domain to the interval in part (a). What is the range of h -1 ?

Suppose that f is the function defined by the table below. The number 6 is in the domain of f.

Suppose that f and g are the functions defined by the tables below. Give the table of values of .

Suppose f(x) = 43x + 1. Find a formula for f -1.

Assume that f the function defined by .Evaluate .

Assume that f is a function whose domain is the interval , whose range is the interval , and whose graph is the figure below. For g(x) = f(x + 2) + 2, A) find the domain of g. B) find the range of g. C) sketch the graph of g.

Find a number b such that , where and .

Sketch the graph of g -1, where g is the function defined by the table below.

Choose the function that is equal to

The Real Numbers

Linear, Quadratic, Polynomial, and Rational Functions

Exponential Functions, Logarithms, and E

Trigonometric Functions

Trigonometric Algebra and Geometry

Sequences, Series, and Limits

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Suppose f(x) = x² + 20, where the domain of f equals . Find the range of f.

Suppose . Evaluate f^-¹(14).

Consider the function f with domain [0, 12] whose graph is shown below. A) What is the largest interval contained in the domain of f on which f is decreasing? B) Let h denote the function obtained from f by restricting the domain to the interval in part (a). What is the range of h ^-¹ ?

Suppose f(x) = 43x + 1. Find a formula for f^-¹.

Sketch the graph of g^-¹, where g is the function defined by the table below.