Question

This relationship is not a function. Choose the sentence or

sentences that explain why.
10
х
1
у
2
8
6
N7000
x=1
6
8
10
2
0
N
4
The graph is a line.
The graph intersects
the x-axis.
The input x-1 has
many outputs.
The graph is a
vertical line.

Answer 1

The input x = 1 has many outputs.

The graph is a vertical line.

Explanation:

Hi there!

A function is defined as a relation that only gives one output for every given input. For every x-value, there is only one y-value.

Because the x-value of 1 gives us an infinite number of y-values, this is therefore not a function.

More generally, no vertical line is a function for this reason.

I hope this helps!