Linear and Quadratic Functions: Functions and Relations

think icon Think & Click: Function vs. Relation Examples

Now, you try. Complete the Think & Click activity to check your understanding of functions and relations. Look at each problem below, think about it, and then click on the question to reveal the solution.

Does the following table represent a relation or a function?
 

x

y

-1

0

4

-5

6

-6

9

11

10

14


 
This table represents a relation and a function. Notice that for each x-value there is one and only one y-value.
 
Does the set {(1, 5), (3, 5), (2, 9), (3, 7)} represent a function or a relation?
 
This set represents a relation, but not a function. Notice that for the x-value of 3 you have two y choices, either 5 or 7. Therefore, this is a relation but not a function.