Question

What relations does not represent an 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

The answer to the question would be c!

Answer 2

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

Explanation:

We know that,

'Function is a relation in which every element of the domain is mapped to a unique element in the co-domain'.

So, we get that,

In the ordered pair (x,y), the if 'x' is mapped to two values say y and z, then for the relation to be a function, y must be equal to z.

So, according to the options, we see that,

In option C i.e. the relation {(3,4), (3.5)}, we have that, 3 does not have unique image i.e. it is mapped to 4 and 5 both.

Thus, this relation does not satisfy the definition of a function.

So, option C will not represent a function.