M1 Unit 3 Study Guide

For questions #1-10 use the image below.

1. Which of the following

correctly describes the
domain?

For questions #1-10 use the image below.

2. Which of the following is the
coordinate of the minimum?

A. (3, -1)

B. (1, 0)

C.

(-1, 0)

D. (0, 2)

E. (-2, 3)

For questions #1-10 use the image below.

3. Which of the following is the
coordinate of the maximum?
A. (3, -1)

B. (-4, 1)

C. (-1, 0)

D. (0, 2)

E. (-2, 3)

For questions #1-10 use the image below.

4. Which of the following
correctly describes the range?

A. [-4, 1]

B. [-1, 3]

C. [-4, 3]

D. [-1,1]

For questions #1-10 use the image below.

5. Which of the following shows
an interval where the function is
increasing?

A. [-4, 1)

B. [-1, 3]

C. [-4, -2)

D. [-1,1]

For questions #1-10 use the image below.

6. Which of the following is the
coordinate of the y-intercept?

A. (-1, 0)

B. (0, -1)

C. (1, 0)

D. (-2, 0)

E. None

For questions #1-10 use the image below.

7. Which of the following is the
coordinate of an x-intercept?

A. (-1, 0)

B. (0, -1)

C. (3, -1)

D. (-2, 0)

E. None

For questions #1-10 use the image below.

8. Which of the following is an
interval where the function is
decreasing?

A. [-4, 1]

B. (-1, 3]

C. [-4, 2]

D. (-2, 0)

For questions #1-10 use the image below.

9. Which of the following
intervals can be described as
being constant?

A. [-4, 1]

B. [-1, 3]

C. [-4, 2]

D. [-2, 0]

E. None

For questions #1-10 use the image below.

10. Which description best fits
this function over its domain?

A. Linear

B. Exponential

C. Discrete

D. Discontinuous

E. Continuous

Use the graph of 𝒇(𝒙) below to find the indicated values in questions 11-14.

11. 𝑓 −3 = _________

A. 2

B. -1

C. 1

D. -5

Use the graph of 𝒇(𝒙) below to find the indicated values in questions 11-14.

12. 𝑓 2 = _________

A. 4

B. 1.5

C. 0

D. 1

Use the graph of 𝒇(𝒙) below to find the indicated values in questions 11-14.

13. 𝑓 𝑥 = −2, then 𝑥 = _________

A. 0

B. -2

C. -4

D. 4

Use the graph of 𝒇(𝒙) below to find the indicated values in questions 11-14.

14. 𝑓 𝑥 = 1, then 𝑥 = _________

A. -3

B.

2

C. -2

D.

0

Decide whether the following relations are functions or not.

X

Y

7

1

8

0

9

-5

-5

-5

-2

-3

No x’s repeat so this IS a

function.
YES!

Decide whether the following relations are functions or not.

16.
The x-value 2 has two y-

values.
NO!

X

Y

0

4

2

4

2

5

3

6

5

4

Decide whether the following relations are functions or not.

17.

NO!

Decide whether the following relations are functions or not.

18.

YES!

Decide whether the following relations are functions or not.

19. A circle’s length of the radius, x, and the length
of the circumference, y.

YES!

There is one circumference for every

radius so the x’s don’t repeat.

Decide whether the following relations are functions or not.

20. A person’s first name (x) versus their social
security number, y.

NO!

There could be multiple people with first name John

and different last names so they have different

socials.

21. The function 𝑓(𝑥) = 12,000(1.075)𝑡models the value of an
investment t years from now. What is the meaning of the value f(5)?

A. the value of the investment 5 years ago

B. the value of the investment in 5 years

C. the initial value of the investment

D. the interest rate the investment earns

22. A rental company uses the function 𝑓 𝑥 = 150𝑥 + 75 to calculate the cost
to rent a beach house x number of nights. The maximum number of nights the
beach house can be rented is 30. What is the domain of the function?

A. 0 ≤ 𝑥 ≤ 30, where is x a whole number

B. 0 < 𝑥 < 30, where is x a whole number

C. 0 ≤ 𝑥 ≤ 4,575, where is x a whole number

D. 0 < 𝑥 < 4,575, where is x a whole number

Decide whether the following relations are functions or not.

20. A person’s first name (x) versus their social
security number, y.