Q23. - Algebra 1

Question

Determine whether each relation is a function. Explain.

Domain	Range
–4	2
3	5
4	–2
9	–5
–3	–7

Step-by-Step Solution

Answer

The given relation is a function.

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.

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 $f:A\to B$ which shows that function f maps every element of set A to a unique element of set B.

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.