Question

Select ALL the relations that are functions. 100pts! hurry!

Question 5 options:


{(2, 2),(4, 4),(6, 6),(8, 8)}



{(1, 2),(3, 3),(4, 8),(6, 3)}



{(0, 3),(3, 5),(5, 6),(8, 4)}



{(3, 4),(5, 2),(5, 6),(7, 3)}

Answer 1

Set 1 = {(2, 2),(4, 4),(6, 6),(8, 8)}

Set 2 = {(1, 2),(3, 3),(4, 8),(6, 3)}

Set 3 = {(0, 3),(3, 5),(5, 6),(8, 4)}

Explanation:

A function is a special type of relation where each input is related to exactly one output.

Set 1 = {(2, 2),(4, 4),(6, 6),(8, 8)}

This is a function as each input is related to exactly one input.

It is a one-to-one function as no two inputs correspond to the same output.

Set 2 = {(1, 2),(3, 3),(4, 8),(6, 3)}

This is a function as each input is related to exactly one input.

It is a many-to-one function as two inputs (x=3 and x=6) correspond to the same output (y=3).

Set 3 = {(0, 3),(3, 5),(5, 6),(8, 4)}

This is a function as each input is related to exactly one input.

It is a one-to-one function as no two inputs correspond to the same output.

Set 4 = {(3, 4),(5, 2),(5, 6),(7, 3)}

This is not a function as the same input (x=5) corresponds to two different outputs (y=2 and y=6).