Question 1

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

Accepted Answer

The answer of Assume that 
   for each...

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 
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 
    ....

Question 4

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

Accepted Answer

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

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 
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

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] 
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...

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   
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  ...

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) 
   
A) 
   
B) 
   
C) 
   
D)

Question 18

Suppose 
   
 . Find the domain of f.

Accepted Answer

The answer of Suppose 
   
 . Find...

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

Part A:
 @#IMG-DLM&

Question 20

Suppose  And    . Then which must be true?

Accepted Answer

A) 
   
B) 
   
C)    
D)  Impossible to determine 
A) 
   
B) 
   
C)    
D)  Impossible to determine

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?

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

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?

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) = 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.