Is the equation #y=x^2 +3# a function?

1 Answer
Nov 20, 2016

For each #x#-value, there is only one #y#-value.
It is a function.

Explanation:

This is the equation of a parabola. It does represent a function.

For any #x# value you choose, there will be only one #y# value.

You will not end up with a choice of #y#- values.

If you draw the graph and draw a vertical line anywhere, it will only intersect the parabola once. This is an indication that is is a function.