Question

Does the graph represent a function? Please thoroughly explain why it is or is not a function. This is 8th grade math.

Answer 1

we know that

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair

that means

For one value of x , there is exactly one value of y

Looking at the graph

For one value of x , there are two values of y

therefore

Is not a function

To better understand the problem i will attached a figure

please wait a minute

Example

For x=5

there are y=5.5 (approximate) and y=-5.5 (approximate)