Finite Math Examples Relations

Determine if Bijective (One-to-One)

,
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
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Relations

More step-by-step Finite Math examples from this chapter.

Determining if the Relation is a Function Finding the Domain and Range of the Relation Finding the Inverse of the Relation Determining if Surjective (Onto)

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