Linear and Quadratic Functions: Functions and Relations

think icon Think & Click: Relations vs. Functions

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

Does {(3, 4), (-1, 2), (5, 6), (4, 6)} represent a relation or a function?
 
A function and a relation: Notice for each x-value there is one and only one y-value.
 
Does {(1, 2), (1, 3), (2, 4), (2, 5)} represent a relation or a function?
 
A relation: Notice that for the x-value of 1 you have two y choices, either 2 or 3. Also for the x-value of 2 you have two y choices, either 4 or 5. Therefore, this is a relation but not a function.
 
Does the graph below represent a relation or a function?

A function and a relation: Notice for each x-value there is one and only one y-value. It also passes the vertical line test.
 
Linear Graph