Question

Could someone please explain how this (C) was the correct answer? Thank you

Answer 1

For table C, there is no x-value that has more than one y-value.

Explanation:

A function must not have the same first coordinate which is the x-coordinate having more than y-values. So that it can pass the vertical line test.

For table A, we have
`(0,-4),(0,4)`.

Since there is at least an x-value having more than one y-value, it ceases to be a function.

For table B, we have
`(5,-1),(5,3)`.

Since there is at least an x-value having more than one y-value, it ceases to be a function.

For table C, there is no x-value that has more than one y-value.

For table D, we have
`(-2,1),(-2,-3)` and
`(2,1),(2,-3)`

Since there is at least an x-value having more than one y-value, it ceases to be a function.