Question 1

Suppose 
   
 . Evaluate f -1(-11).

Accepted Answer

2

Question 2

Suppose f(x) = 2 - 16x2, where the domain of f equals
    . Find the domain of f -1.

Accepted Answer

Question 3

Suppose that h is defined by    . What is the range of h if the domain of h is the interval (1, 5]?

Accepted Answer

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

Question 4

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) = 4f(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 5

Suppose     . Evaluate f -1(2).

Accepted Answer

Question 6

Consider the function f whose graph is shown below. Sketch the graph of the inverse.

Accepted Answer

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

Question 7

Choose the graph of the function

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Evaluate    assuming that   and   
 .

Accepted Answer

The answer of Evaluate    assuming that ...

Question 10

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 reflecting the graph of f in the vertical axis.

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

Accepted Answer

Part A: [-2, 1]
Part

Question 11

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) - 3,

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

Accepted Answer

Part A:
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Question 12

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 13

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

Accepted Answer

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

Question 14

Consider the function f with domain (0, 20] whose graph is shown below, where a = 4, b = 12, and c = 20. Find the largest interval where f is increasing.

Accepted Answer

A)  (0, 4] 
B)  (12, 20) 
C)  [8, 20] 
D)  [12, 20] 
A)  (0, 4] 
B)  (12, 20) 
C)  [8, 20] 
D)  [12, 20]

Question 15

Suppose f(x) = x7 + 2x3. Evaluate (f -1(12))7 + 2(f -1(12))3 + 1.

Accepted Answer

Question 16

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

Accepted Answer

The answer of Suppose 
    . If...

Question 17

Suppose    . Find the range of f.

Accepted Answer

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

Question 18

If g is the function completely defined by the table below, then 3 is in the domain of g.

Accepted Answer

A) True 
 B)False

Question 19

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 20

if $f(x)=7\sqrt{x} and g(x)=\frac{x^2}{49}$ then f(g(x)) = g(f(x)) for each x > 0.

Accepted Answer

A) True 
 B)False

Suppose . Evaluate f^-¹(-11).

Suppose f(x) = 2 - 16x², where the domain of f equals . Find the domain of f^-¹.

Suppose that h is defined by . What is the range of h if the domain of h is the interval (1, 5]?

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) = 4f(x), A) find the domain of g. B) find the range of g. C) sketch the graph of g.

Suppose . Evaluate f^-¹(2).

Consider the function f whose graph is shown below. Sketch the graph of the inverse.

Choose the graph of the function

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

Evaluate assuming that and .

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 reflecting the graph of f in the vertical axis. A) Sketch the graph of g B) Find the domain of g C) Give a formula for g D) Find the range 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) - 3, A) find the domain of g. B) find the range of g. C) sketch the graph of g.

Choose the composite of functions that would create the graph:

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

Consider the function f with domain (0, 20] whose graph is shown below, where a = 4, b = 12, and c = 20. Find the largest interval where f is increasing.

Suppose f(x) = x⁷ + 2x³. Evaluate (f^-¹(12))⁷ + 2(f^-¹(12))³ + 1.

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

Suppose . Find the range of f.

If g is the function completely defined by the table below, then 3 is in the domain of g.

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

if $f(x)=7\sqrt{x} and g(x)=\frac{x^2}{49}$ then f(g(x)) = g(f(x)) for each x > 0.

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 . Evaluate f -1(-11).

Suppose f(x) = 2 - 16x2, where the domain of f equals . Find the domain of f -1.

Suppose that h is defined by . What is the range of h if the domain of h is the interval (1, 5]?

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) = 4f(x), A) find the domain of g. B) find the range of g. C) sketch the graph of g.

Suppose . Evaluate f -1(2).

Consider the function f whose graph is shown below. Sketch the graph of the inverse.

Choose the graph of the function

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

Evaluate assuming that and .

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 reflecting the graph of f in the vertical axis. A) Sketch the graph of g B) Find the domain of g C) Give a formula for g D) Find the range 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) - 3, A) find the domain of g. B) find the range of g. C) sketch the graph of g.

Choose the composite of functions that would create the graph:

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

Consider the function f with domain (0, 20] whose graph is shown below, where a = 4, b = 12, and c = 20. Find the largest interval where f is increasing.

Suppose f(x) = x7 + 2x3. Evaluate (f -1(12))7 + 2(f -1(12))3 + 1.

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

Suppose . Find the range of f.

If g is the function completely defined by the table below, then 3 is in the domain of g.

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

if f(x)=7xandg(x)=x249f(x)=7\sqrt{x} and g(x)=\frac{x^2}{49}f(x)=7x​andg(x)=49x2​ then f(g(x)) = g(f(x)) for each x > 0.

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 . Evaluate f^-¹(-11).

Suppose f(x) = 2 - 16x², where the domain of f equals . Find the domain of f^-¹.

Suppose . Evaluate f^-¹(2).

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 reflecting the graph of f in the vertical axis. A) Sketch the graph of g B) Find the domain of g C) Give a formula for g D) Find the range of g

Suppose f(x) = x⁷ + 2x³. Evaluate (f^-¹(12))⁷ + 2(f^-¹(12))³ + 1.

if $f(x)=7\sqrt{x} and g(x)=\frac{x^2}{49}$ then f(g(x)) = g(f(x)) for each x > 0.