Question 1

Assume that 
  for each real number x. Evaluate and simplify the following expression.

Accepted Answer

The answer of Assume that 
  for each real...

Question 2

Choose the formula that is a function.

Accepted Answer

A)   , for all x 
B)   , for all x 
C)   , for all x 
D)   , for all x

Question 3

Assume that 
   . Find a number b such that g(b) = 19

Accepted Answer

The answer of Assume that 
   . Find...

Question 4

Suppose f(x) = 9x + 1. Evaluate f^-¹(10).

Accepted Answer

The answer of Suppose f(x) = 9x + 1. Evaluate...

Question 5

Assume that f is the function with domain [-6, 6] 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 . Find the range of f^-¹.

Accepted Answer

The answer of Suppose 
   . Find the...

Question 7

Assume that f is the function with domain [-3, 3] whose graph is shown below. Estimate the value of f(-2).

Accepted Answer

A)  1.5 
B)  -0.5 
C)  0.5 
D)  1

Question 8

Assuming that f and g are the functions completely defined by the tables below, evaluate the expression 
  
 .

Accepted Answer

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

Question 9

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 10

Suppose that f is the function defined by the table below. Give the table of values of f^-¹.

Accepted Answer

The answer of Suppose that f is the function defined...

Question 11

Assume that g is the function completely defined by the table below. What is the range of g?

Accepted Answer

The answer of Assume that g is the function completely...

Question 12

The graph of 
Is shown below. Assuming that its domain is [-12, 12] and its range is [0, 12], find the range of g(x) = 2f(x) - 1.

Accepted Answer

A)  [0, 23] 
B)  [1, 24] 
C)  [1, 6] 
D)  [-1, 23]

Question 13

Assume that   for each real number x. Evaluate and simplify the following expression.
f(13)

Accepted Answer

The answer of Assume that   for each real...

Question 14

Choose the composite of functions that would create the graph:

Accepted Answer

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

Question 15

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

Accepted Answer

The answer of For   and  , find...

Question 16

Assuming that f and g are the functions completely defined by the tables below, evaluate the expression   
 .

Accepted Answer

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

Question 17

Suppose  . If , then find a function f such that  
 .

Accepted Answer

A) 
  
B) 
  
C) 
  
D)

Question 18

Suppose 
  
 . Find the domain of f.

Accepted Answer

The answer of Suppose 
  
 . Find the...

Question 19

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) = 3 - f(x),

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

Accepted Answer

The answer of Assume that f is a function whose...

Question 20

Suppose And   . Then which must be true?

Accepted Answer

A) 
  
B) 
  
C)   
D)  Impossible to determine

Exam 2: Functions and Their Graphs

Assume that for each real number x. Evaluate and simplify the following expression.

Choose the formula that is a function.

Assume that . Find a number b such that g(b) = 19

Suppose f(x) = 9x + 1. Evaluate f^-¹(10).

Assume that f is the function with domain [-6, 6] whose graph is shown below. Estimate the value of f(1).

Suppose . Find the range of f^-¹.

Assume that f is the function with domain [-3, 3] whose graph is shown below. Estimate the value of f(-2) .

Assuming that f and g are the functions completely defined by the tables below, evaluate the expression .

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

Suppose that f is the function defined by the table below. Give the table of values of f^-¹.

Assume that g is the function completely defined by the table below. What is the range of g?

The graph of Is shown below. Assuming that its domain is [-12, 12] and its range is [0, 12], find the range of g(x) = 2f(x) - 1.

Assume that for each real number x. Evaluate and simplify the following expression. f(13)

Choose the composite of functions that would create the graph:

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

Assuming that f and g are the functions completely defined by the tables below, evaluate the expression .

Suppose . If , then find a function f such that .

Suppose . Find the domain of f.

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) = 3 - f(x), A) find the domain of g. B) find the range of g. C) sketch the graph of g.

Suppose And . Then which must be true?

Exam 2: Functions and Their Graphs

Assume that for each real number x. Evaluate and simplify the following expression.

Choose the formula that is a function.

Assume that . Find a number b such that g(b) = 19

Suppose f(x) = 9x + 1. Evaluate f -1(10).

Assume that f is the function with domain [-6, 6] whose graph is shown below. Estimate the value of f(1).

Suppose . Find the range of f -1.

Assume that f is the function with domain [-3, 3] whose graph is shown below. Estimate the value of f(-2) .

Assuming that f and g are the functions completely defined by the tables below, evaluate the expression .

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

Suppose that f is the function defined by the table below. Give the table of values of f -1.

Assume that g is the function completely defined by the table below. What is the range of g?

The graph of Is shown below. Assuming that its domain is [-12, 12] and its range is [0, 12], find the range of g(x) = 2f(x) - 1.

Assume that for each real number x. Evaluate and simplify the following expression. f(13)

Choose the composite of functions that would create the graph:

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

Assuming that f and g are the functions completely defined by the tables below, evaluate the expression .

Suppose . If , then find a function f such that .

Suppose . Find the domain of f.

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) = 3 - f(x), A) find the domain of g. B) find the range of g. C) sketch the graph of g.

Suppose And . Then which must be true?

Suppose f(x) = 9x + 1. Evaluate f^-¹(10).

Suppose . Find the range of f^-¹.

Suppose that f is the function defined by the table below. Give the table of values of f^-¹.