Question

. Angelo states that all functions are relations but not all relations are functions. Do you agree

with Angelo? Support your answer using an example.

Answer 1

Answer: Yes, Angelo is correct.

Explanation:

A relation is something that maps an input into an output.

For example:

(2,4), (3, 5), (4, 6)

Is a relation that maps:

2 into 4

3 into 5

4 into 6

etc.

Now, a function is a relation with a condition.

Each input can be mapped into only one output.

then, if we have:

(2, 3) (2,4) (5, 6)

This is a relation, but this is mapping the input 2 into 3, and into 4.

So it is mapping the same input into two different outputs, then this is not a function.

So yes, all the functions are relations, but there are relations that are not functions.