Question

In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs. Which relation does not represent a function? * A) { (-2, -3), (1, 3), (3, -3), (5, 3) } B) { (-1, -5), (2, 4), (3, 7), (4, 10) } C) { (-2, 3), (1, 3), (3, 3), (5, 3) } D) { (3, 4), (4, 5), (3, -4), (4, -5) }

Answer 1

Given:

In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs.

To find:

The relation which does not represent a function.

Solution:

A relation is a function if there exist a unique output for each input.

In options A, B and C, we get unique output for each input.

In option D, we get two outputs y=4 and y=-4 for input x=3.

Since, there exist more than one output values for a single input value, therefore it is not a function.

Therefore, the correct option is D.