Quiz about Test - Chapter 3 Inverse Functions

Question 1

The table contains the values of functions f(x).

Accepted Answer

Question 2

A function $$f\left(x\right)=a\sqrt[3]{bx-c}+d$$ is a cube root function. What is the domain of it's inverse cubic function?

Accepted Answer

$$\left(-\infty,\infty\right)$$

Answer

$$\left(-\infty,d\right)$$

Answer

$$\left(d,\infty\right)$$

Answer

The domain of g(x) cannot be determined.

Question 3

The function $$g\left(x\right)=10^{\left(2x-1\right)}+3$$ and its inverse, h(x) are represented on the graph shown. Which of the following equations best describes h(x)?

Accepted Answer

$$h\left(x\right)=\frac{\log\left(x-3\right)+1}{2}$$

Answer

$$h\left(x\right)=\frac{\log\left(x+3\right)-1}{2}$$

Answer

$$h\left(x\right)=10^{\left(2x+1\right)}+3$$

Answer

$$h\left(x\right)=10^{\left(2x+1\right)}-3$$

Question 4

Which statement best describes the domain of f(x)?

Accepted Answer

The domain of f(x) is the same as the range of both g(x) and h(x).

Answer

The domain of f(x) is the same as the domain of both g(x) and h(x).

Answer

The domain of f(x) contains all the real numbers greater than zero.

Answer

The domain of f(x) contains all the real numbers less than zero.

Question 5

Shannon examines a set of three different functions:

$$f\left(x\right)=2\left|x-3\right|+1$$

$$g\left(x\right)=3\left(x-1\right)+2$$

$$h\left(x\right)=\sqrt[]{x+2}+3$$

Accepted Answer

(3, 1)

Answer

(0, 5)

Answer

(0, 2)

Answer

(2, 3)

Question 6

Determine whether or not the functions shown in the graph are inverse functions. Explain your reasoning.

Accepted Answer

No, they are not inverses. does not reflect over y = x.

Answer

Yes , they are inverses. The inverse graph has the same opposite points.

Answer

Yes, they are inverses. The graph does not reflect over y = x.

Answer

No, they are not inverses. The points on the graph have the same opposite points.

Question 7

Are $$f\left(x\right)=\left(x+5\right)^3$$ and $$g\left(x\right)=\sqrt[3]{x}-5$$ inverse functions?

Accepted Answer

Yes, they are inverses.

Answer

No, they are not inverses.

Question 8

Are these graphs inverses?

Accepted Answer

no

Answer

yes

Answer

There is no way to tell.

Question 9

Indicate whether or not the relations represented are inverses of each other. If the relations are not inverses, indicate why not. If they are inverses, indicate if both are functions.

Accepted Answer

Inverse

Answer

Not an Inverse

Question 10

What key attributes do these graphs have in common?

Accepted Answer

All three graphs have a domain of all real numbers, and share the same y-intercept.

Answer

All three graphs have a domain of all real numbers, and share the same x-intercept.

Answer

All three graphs have a range of all real numbers, and share the same x-intercept.

Answer

All three graphs have a range of all real numbers, and share the same y-intercept.

Question 11

These equations are inverses of each other. True or false?

Accepted Answer

False

Answer

True

Question 12

Question 12.

Accepted Answer

C.

Answer

A.

Answer

B.

Answer

D.

Question 13

Given the domain of f(x) is [0, 7] and the range of f(x) is [-2, 5], what are the domain and range of f inverse?

Accepted Answer

D: [-2, 5]

R: [0, 7]

Answer

D: [-7, 0]

R: [-5, 2]

Answer

D: [-2, 7]

R: [0, 5]

Answer

D: [-5, 2]

R: [-7, 0]

Test - Chapter 3 Inverse Functions

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics