Question

Does (5,-8),(3,5),(3,-3),(2,8) represent a function

Answer 1

No

Explanation:

So to determine whether this is a function, we first need to know what a function is. A function is defined as for each input, there is only 1 output.

This output doesn't have to be unique and other inputs can output this output, but it only matters that each input outputs only one output.

So let's look at what you provided and specifically these two points:

(3, 5)

(3, -3)

This input 3, outputs 5 and -3, which is not a function since this input outputted 2 different outputs. One thing to note is had you provided the two points: (3, 5), (3, 5) instead then it would still be a function because the input outputted the same output of 5 both times.