Identifying Relations and Functions

Felix told his parents functions can be seen in real life scenarios. Which scenario would represent a function?

• Beverly Hills, California has the zip code 90210 (x).  

        There are 34,675 people living in Beverly Hills (y). 

• The principal of a school sends the same memo to all 

       of the teachers (x). There are 29 teachers in the school (y).

• A basketball team has numbered uniforms (x). Each player 

       wears an uniformed with their assigned number (y).

• A sneak preview of a new movie is being shown in a local 

        theater (x). There are 65 people in the audience (y).

Raquel has a relation plotted on a coordinate plane. What is the range of the relation?

• {−1, 0, 1, 3}

• {−2, 1, 3}

• {−2, −1, 0, 1, 2, 3}

• {0, 1, 2, 3}

Mr. Guillory presented his students with the following function. What is the range of the function?

• −4 ≤ x < 8

• −2 <x ≤ 7

• −4 < y ≤ 8

• −2 ≤ y < 7

Alejandra has set of ordered pairs. 

{(−1, −4), (0, 0), (1, 4), (2, 8)}

Determine the domain and range and whether the relation is a function. 

• Domain: {−1, 0, 1, 2}, Range: {−4, 0, 4, 8}; this relation is a function

• Domain: {−1, 0, 1, 2}, Range: {−4, 0, 4, 8}; this relation is not a function

• Domain: {−4, 0, 4, 8}, Range: {−1, 0, 1, 2}; this relation is a function

• Domain: {−4, 0, 4, 8}, Range: {−1, 0, 1, 2}; this relation is not a function

Which relation shows a function?

• A

• B

• C

• D

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

Determine whether the relation shown is a function.
The relation ​ ​ (a)   a function because ​ ​ (b)   is mapped to ​ (c)   output value.

• is

• is not

• every input value

• the input of 3

• more than one

• exactly one

Which of the relations shown represent y as a function of x?

Select ONE correct answer in each row.

Answer explanation

In a function, the x does NOT repeat.

Vertical Line Test

- Pass: touches the graph once

- Fail: touches the graph more than once

This is a one-to-many relation. Is it a function??

• Function

• Not a Function

Which of the relations shown represent y as a function of x?

Select the correct answer in each row.