Q22. - Algebra 1

Question

Example 1 Determine whether each relation is a function. Explain

Domain	Range
4	6
–5	3
6	–3
–5	5

Step-by-Step Solution

Answer

The relation is not a function.

Step 1. Domain and range of a function.

In a function domain is the set of input (x) values and the range is the set of output (y) values.

Step 2. definition of the function.

A relation is said to be a function of each element in the domain of the relationship that has a unique value in the range. That is, no element in the domain has more than one value in the range.

Step 3. Explanation.

Each element of the domain does not have a unique value in the range.

The element $-5$ of the domain has two different mappings as 3 and 5 in the range.

Thus, the given relation is not a function.