Question

Which of the following relations represents a function?

A. {(1, 1), (1, 2), (1, 3)}
B. {(1, 1), (2, 1), (3, 1)}
C. {(1, 1), (2, 2), (3, 3)}
D. Both B and C.

Answer 1

Alternative D is correct

Explanation:

For a relation to qualify as a function, a unique x value should be mapped to a unique y-value or unique x-values be mapped to the same y-value

Answer 2

Choice D is correct answer.

Explanation:

We have given relations .

We have to choose relations which are functions.

Function f from a set X to a set Y is defined by a set G of ordered pairs (x, y) such that x ∈ X, y ∈ Y.

Function is defined as a rule that assigns each input a single output.

So, choice B and C represent a function. But choice A is not a function since a single input can't have more than 1 output.