Question

Identify the domain and range of the relation

Answer 1

Domain: -4 ≤ x ≤ 4

Range: -1 ≤ y ≤ 0

Explanation:

The domain of a function is the set of values that result in a real number when they are inputted into the function.

The range of a function is the set of values that are outputted by the function.

From this table, we can deduce the domain and range by identifying the least and greatest x- and y-values, then creating a boundary at those values.

For domain:

greatest x-value: 4

least x-value: -4

`\implies \text{the}` domain of the function is -4 ≤ x ≤ 4

For range:

greatest y-value: 0

least y-value: -1

`\implies \text{the}` range of the function is -1 ≤ y ≤ 0