Question

Which of the following represents a function? OA X -5-1 9 8 -1 y 1 7 23 17 1 B. y NS x -4 NO 4 C. {(0,1),(3,2), (-8,3), (-7,2), (3,4)} D. -4 5 9 3 13​

Answer 1

Given:

The different relations in the options.

To find:

The relation which represents a function.

Solution:

A relation is called a function if there exist a unique output (y-value) for each input (x-value).

In option A, there exist two outputs y=7 and y=1 for a single input x=-1. So, this is not a function.

In option B, there exist two outputs y=-5 and y=2 for a single input x=-1. So, this is not a function.

In option C, there exist two outputs y=2 and y=4 for a single input x=3. So, this is not a function.

In option D, there exist only one value of y for each x. So, this is a function.

Therefore, the correct option is D.