Question

Select the domain and set range of the set builder notation

Answer 1

Domain

Set builder notation: -2 ≤ x ≤ 2

Interval notation: [-2, 2]

Range

Set builder notation: { y ∈ R }

Interval notation: (-∞, ∞)

Explanation:

Domain: set of all possible input values (x-values).

Range: set of all possible output values (y-values).

Assuming each square on the graph is 1 square unit:

Domain (restricted)

Set builder notation: -2 ≤ x ≤ 2

Interval notation: [-2, 2]

Range (unrestricted)

Set builder notation: { y ∈ R }

Interval notation: (-∞, ∞)

Answer 2

As per graph we have

Domain:

• x ∈ [-2, 2]

Range:

• y ∈ (-∞, +∞)