Question 1

Noah earns $$10 per hour at his part-time job and can work up to 35 hours per week. Which of the following equations correctly represents Noah’s weekly gross pay P$ as a function of hours worked h$?

Accepted Answer

$$P(h) = 10h$$

Question 2

Which of the following best defines a function?

Accepted Answer

A relation where every input is paired with exactly one output.

Question 3

Given the function $$f(x) = \frac{2x-7}{x+3}$$, what is the value of $$f(4)$$?

Accepted Answer

$$\frac{1}{7}$$

Question 4

Given the function $$f(x) = \frac{2x-7}{x+3}$$, for which value of $$x is $$the function undefined?

Accepted Answer

$$x = -3$$

Question 5

Which of the following is the correct set-builder notation for the domain of $$f(x) = \frac{2x-7}{x+3}$$?

Accepted Answer

$$\{x \mid x 
eq -3\}$$

Question 6

If $$P(h) = 10h$$, what is $$P(30)$$ and what does it represent in the context of Noah’s job?

Accepted Answer

$$P(30) = 300$$, which is Noah’s gross pay for working 30 hours.

Question 7

Which of the following is NOT a function?

Accepted Answer

A relation where one input is paired with two different outputs.

Question 8

Given the set of ordered pairs $$\{(-1,4), (0,3), (1,4), (2,2)\}$$, what is the domain?

Accepted Answer

$$\{-1, 0, 1, 2\}$$

Question 9

Given the function $$f(x) = \frac{2x-7}{x+3}$$, what is the range?

Accepted Answer

$$\{y \mid y 
eq 2\}$$

Question 10

Which of the following is the correct interval notation for the domain of $$P(h) = 10h if $$Noah can work up to 35 hours per week?

Accepted Answer

$$[0, 35]$$

Question 11

If $$f(x) is $$defined by the table: $$x: -1, 0, 1, 2$$ and $$f(x): 4, 3, 4, 2$$, what is the range of $$f(x)$$?

Accepted Answer

$$\{2, 3, 4\}$$

Question 12

Which of the following graphs represents a function?

Accepted Answer

A graph where no vertical line intersects the graph more than once.

Question 13

If $$P(h) = 10h$$, and $$P(h) = 800$$, how many hours did Noah work?

Accepted Answer

Question 14

Which of the following is the correct function notation for the pay function in terms of hours worked?

Accepted Answer

$$P(h)$$

Question 15

Which of the following is an example of something that is NOT a function?

Accepted Answer

A person’s name mapped to their phone numbers, where one person has two numbers.

Functions and Their Representations

Study Guide - Practice Questions

Study Guide - Flashcards