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Determine whether each relation is a function. Explain.

DomainRange
–42
35
4–2
9–5
–3–7

Short Answer

Expert verified

The given relation is a function.

Step by step solution

01

Step 1. Definition of function.

A function is defined as the relation between two sets that maps elements of the first to a unique element of the second set.

02

Step 2. Concept Used.

A function is defined as the relation between two sets that maps elements of the first to a unique element of the second set. And it is denoted as f:ABwhich shows that function f maps every element of set A to a unique element of set B.

03

Step 3. Explanation.

Each element of the domain has a unique value in the range.

No element in the domain has more than one mapping in the range.

Thus, the given relation is a function.

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