Question

Which relation does not represent a function?

A.
{(3, 0), (0, 3)}
B.
{(6, -2), (5, -2)}
C.
{(3, 4), (3, 5)}
D.
{(5, 5), (-5, -5)}
E.
{(1, -2), (-2, 1)}

Answer 1

Answer with explanation:

A relation is said to be function, if each element of domain has unique range or no two elements in image has same Preimage.

Option A

3 → 0

0→3

Relation is a Function.

Option B

6 → -2

5→-2

Relation is a function.

Option C

3→4

3→5

Two elements in Preimage has Distinct images. So this relation is not a function.

Option D

5 → 5

-5 → -5

Relation is a function.

Option E.

1 → -2

- 2→ 1

Relation is a function.

Option C: {(3, 4), (3, 5)}

Relation is not a function.

Answer 2

C. {(3, 4), (3, 5)}

Explanation:

Each input can only go to one output to be a function. In other words, each x can only go to one y

Relation C has an x of 3 going to 2 different y's (4 and 5) so it is a relation not a function