# Algebra Examples

,

Step 1

Since for each value of there is one and only one value of , the given relation is a function.

The relation is a function.

Step 2

Since the relation is a function and for each value of there is one and only one value of , the given relation is a one-to-one function.

The relation is a one-to-one function.

Step 3

Every point in the range is the value of for at least one point in the domain, so this is a surjective function.

Surjective function

Step 4

Since is injective (one to one) and surjective, then it is bijective function.

Bijective function