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3. is each relation a function? if so, is it one - to - one or not one …

Question

  1. is each relation a function? if so, is it one - to - one or not one - to - one?

a.
b.
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Explanation:

Response
Part a.

Step1: Check if it's a function

Each input has one unique output.
Inputs: $-2, 3, 4$; each maps to only one output.

Step2: Check if one-to-one

Each output maps to one input.
Outputs: $5, 6, 7, 8$; each has one unique input.

Step1: Check if it's a function

Use vertical line test: any vertical line intersects the graph at most once. This graph passes the test.

Step2: Check if one-to-one

Use horizontal line test: any horizontal line intersects the graph at most once. This graph passes the test.

Answer:

It is a function, and it is one-to-one.

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Part b.