Question

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

Answer 1

Answer:

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

Step-by-step 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.