Question 1

Assume that f is the function whose graph is shown below.If the domain of f is restricted to [1, 3], determine its range.

Accepted Answer

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

Question 2

Suppose that f and g are the functions defined by the tables below. What is the domain of g?

Accepted Answer

A)  {3, 4, 5, 6} 
B)  {5, 6, 7, 8} 
C)  {1, 2, 3, 7} 
D)  {2, 3, 4, 6} 
A)  {3, 4, 5, 6} 
B)  {5, 6, 7, 8} 
C)  {1, 2, 3, 7} 
D)  {2, 3, 4, 6}

Question 3

Suppose that h is defined by 
    . What is the domain of h if the range of h is the interval (10, 20]?

Accepted Answer

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

Question 4

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

Accepted Answer

The answer of Assume that 
   for each...

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

If the graph of   is:

Choose the formula for the graph:

Accepted Answer

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

Question 7

If f(x) is an odd function, then f(x) = -f(-x).

Accepted Answer

A) True 
 B)False

Question 8

Suppose 
   and    . Evaluate   
 .

Accepted Answer

The answer of Suppose 
   and  ...

Question 9

From the functionx
   Evaluate f(12)

Accepted Answer

The answer of From the functionx
   Evaluate f(12)...

Question 10

Shown below is the graph of a function f, where a = -2, b = 4, c = 6, and d = -2. What is the domain of f?

Accepted Answer

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

Question 11

Find the domain of 
    . Write your answer as an interval or as the union of intervals.

Accepted Answer

The answer of Find the domain of 
  ...

Question 12

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

Accepted Answer

The answer of For    and  ...

Question 13

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

Accepted Answer

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

Question 14

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 stretching the graph of f by a factor of 4 in the vertical direction.

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 15

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,

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 16

Assume that 
   for each real number x. Evaluate and simplify the following expression.f(6)

Accepted Answer

The answer of Assume that 
   for each...

Question 17

Assume that f is the function with domain [-4, 6] whose graph is shown below. Estimate the value of f(0).

Accepted Answer

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

Question 18

Assuming that f is the function completely defined by the table below, evaluate the expression    .

Accepted Answer

A)  2 
B)  1 
C)  0 
D)  3 
A)  2 
B)  1 
C)  0 
D)  3

Question 19

If f(x) is an even function, then f(x) = -f(x).

Accepted Answer

A) True 
 B)False

Question 20

Suppose f(x) = 2x + 7. Find a formula for f -1.

Accepted Answer

Assume that f is the function whose graph is shown below.If the domain of f is restricted to [1, 3], determine its range.

Suppose that f and g are the functions defined by the tables below. What is the domain of g?

Suppose that h is defined by . What is the domain of h if the range of h is the interval (10, 20]?

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

Choose the composite of functions that would create the graph:

If the graph of is: Choose the formula for the graph:

If f(x) is an odd function, then f(x) = -f(-x).

Suppose and . Evaluate .

From the functionx Evaluate f(12)

Shown below is the graph of a function f, where a = -2, b = 4, c = 6, and d = -2. What is the domain of f?

Find the domain of . Write your answer as an interval or as the union of intervals.

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

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

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 stretching the graph of f by a factor of 4 in the vertical direction. A) Find the domain of g B) Give a formula for g C) Find the range of g D) Sketch the graph of g

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

Assume that for each real number x. Evaluate and simplify the following expression.f(6)

Assume that f is the function with domain [-4, 6] whose graph is shown below. Estimate the value of f(0).

Assuming that f is the function completely defined by the table below, evaluate the expression .

If f(x) is an even function, then f(x) = -f(x).

Suppose f(x) = 2x + 7. Find a formula for f^-¹.

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 f is the function whose graph is shown below.If the domain of f is restricted to [1, 3], determine its range.

Suppose that f and g are the functions defined by the tables below. What is the domain of g?

Suppose that h is defined by . What is the domain of h if the range of h is the interval (10, 20]?

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

Choose the composite of functions that would create the graph:

If the graph of is: Choose the formula for the graph:

If f(x) is an odd function, then f(x) = -f(-x).

Suppose and . Evaluate .

From the functionx Evaluate f(12)

Shown below is the graph of a function f, where a = -2, b = 4, c = 6, and d = -2. What is the domain of f?

Find the domain of . Write your answer as an interval or as the union of intervals.

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

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

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 stretching the graph of f by a factor of 4 in the vertical direction. A) Find the domain of g B) Give a formula for g C) Find the range of g D) Sketch the graph of g

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

Assume that for each real number x. Evaluate and simplify the following expression.f(6)

Assume that f is the function with domain [-4, 6] whose graph is shown below. Estimate the value of f(0).

Assuming that f is the function completely defined by the table below, evaluate the expression .

If f(x) is an even function, then f(x) = -f(x).

Suppose f(x) = 2x + 7. Find a formula for f -1.

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

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 stretching the graph of f by a factor of 4 in the vertical direction. A) Find the domain of g B) Give a formula for g C) Find the range of g D) Sketch the graph of g

Suppose f(x) = 2x + 7. Find a formula for f^-¹.