Question 1

Suppose f(x) = x5 + 17x3. Which of the following alternatives equals
 ?

Accepted Answer

A)  1 
B) 
  
C) 
  
D) 
  
A)  1 
B) 
  
C) 
  
D)

Question 2

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

Accepted Answer

A)  -4 
B)  10 
C)  8 
D)  9 
A)  -4 
B)  10 
C)  8 
D)  9

Question 3

Suppose that h is defined by 
    . What is the domain of h if the range of h is the interval [11, 13)?

Accepted Answer

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

Question 4

Shown below is the graph of a function f, where a = -1, b = 2, c = 4, and d = -1. What is the range of f?

Accepted Answer

The answer of Shown below is the graph of a...

Question 5

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 6

Suppose that g is the function defined by the table below. The number 7 is in the domain of $g^{-1}$.

Accepted Answer

A) True 
 B)False

Question 7

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

Accepted Answer

The answer of For    and  ...

Question 8

Choose the function that is equal to

Accepted Answer

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

Question 9

Assume that f is the function with domain [-2, 2] whose graph is shown below. Estimate a number b such that f(b) = -b.

Accepted Answer

A)  -1 
B)  1/2 
C)  -1/2 
D)  0 
A)  -1 
B)  1/2 
C)  -1/2 
D)  0

Question 10

Consider the function f whose graph is shown below. Find the interval(s) where the function is decreasing. Here, a = -8, b = -4, c = 6, and d = 20.

Accepted Answer

The answer of Consider the function f whose graph is...

Question 11

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 12

Let f(x) = x2 - x3 with domain [-1, 2] and range [-4, 2], whose graph is shown below. The graph of g is obtained by shifting the graph of f down 3 units.

A) Find the domain of g
B) Give a formula for g
C) Find the range of g
D) Sketch the graph of g

Accepted Answer

Part A: [-1, 2]
Part

Question 13

The difference between the x-coordinate and the y-coordinate of $P_5$ is 2.

Accepted Answer

A) True 
 B)False

Question 14

Determine if this curve is the graph of a function.

Accepted Answer

A) True 
 B)False

Question 15

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

Accepted Answer

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

Question 16

Assume that f is the function with domain [-4, 4] whose graph is shown below. Estimate the value of f(-3).

Accepted Answer

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

Question 17

Assume that f is the function with domain [-4, 4] whose graph is shown below. Estimate the value of f(2).

Accepted Answer

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

Suppose f(x) = x⁵ + 17x³. Which of the following alternatives equals ?

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

Suppose that h is defined by . What is the domain of h if the range of h is the interval [11, 13)?

Shown below is the graph of a function f, where a = -1, b = 2, c = 4, and d = -1. What is the range of f?

Choose the composite of functions that would create the graph:

Suppose that g is the function defined by the table below. The number 7 is in the domain of $g^{-1}$ . $Suppose that g is the function defined by the table below. The number 7 is in the domain of g^{-1} .$

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

Choose the function that is equal to

Assume that f is the function with domain [-2, 2] whose graph is shown below. Estimate a number b such that f(b) = -b.

Consider the function f whose graph is shown below. Find the interval(s) where the function is decreasing. Here, a = -8, b = -4, c = 6, and d = 20.

Choose the composite of functions that would create the graph:

Let f(x) = x² - x³ with domain [-1, 2] and range [-4, 2], whose graph is shown below. The graph of g is obtained by shifting the graph of f down 3 units. A) Find the domain of g B) Give a formula for g C) Find the range of g D) Sketch the graph of g

The difference between the x-coordinate and the y-coordinate of $P_5$ is 2.

Determine if this curve is the graph of a function.

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

Assume that f is the function with domain [-4, 4] whose graph is shown below. Estimate the value of f(-3).

Assume that f is the function with domain [-4, 4] whose graph is shown below. Estimate the value of f(2).

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

Suppose f(x) = x5 + 17x3. Which of the following alternatives equals ?

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

Suppose that h is defined by . What is the domain of h if the range of h is the interval [11, 13)?

Shown below is the graph of a function f, where a = -1, b = 2, c = 4, and d = -1. What is the range of f?

Choose the composite of functions that would create the graph:

Suppose that g is the function defined by the table below. The number 7 is in the domain of g−1g^{-1}g−1 .

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

Choose the function that is equal to

Assume that f is the function with domain [-2, 2] whose graph is shown below. Estimate a number b such that f(b) = -b.

Consider the function f whose graph is shown below. Find the interval(s) where the function is decreasing. Here, a = -8, b = -4, c = 6, and d = 20.

Choose the composite of functions that would create the graph:

Let f(x) = x2 - x3 with domain [-1, 2] and range [-4, 2], whose graph is shown below. The graph of g is obtained by shifting the graph of f down 3 units. A) Find the domain of g B) Give a formula for g C) Find the range of g D) Sketch the graph of g

The difference between the x-coordinate and the y-coordinate of P5P_5P5​ is 2.

Determine if this curve is the graph of a function.

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

Assume that f is the function with domain [-4, 4] whose graph is shown below. Estimate the value of f(-3).

Assume that f is the function with domain [-4, 4] whose graph is shown below. Estimate the value of f(2).

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) = x⁵ + 17x³. Which of the following alternatives equals ?

Suppose that g is the function defined by the table below. The number 7 is in the domain of $g^{-1}$ . $Suppose that g is the function defined by the table below. The number 7 is in the domain of g^{-1} .$

Let f(x) = x² - x³ with domain [-1, 2] and range [-4, 2], whose graph is shown below. The graph of g is obtained by shifting the graph of f down 3 units. A) Find the domain of g B) Give a formula for g C) Find the range of g D) Sketch the graph of g

The difference between the x-coordinate and the y-coordinate of $P_5$ is 2.