Question

The graph of g(x) is shown.

On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 4, 4) and goes down to a closed circle at (negative 1, 1). The second line has a closed circle at (0, 1) and goes do to an open circle at (3, negative 1).
Which statements describe the domain and range of g(x)? Select two options.

The function g(x) is defined for all real numbers x.
The maximum value of the range is 4.
The maximum value of the domain is 3.
The range of g(x) is {y| –1 < y ≤ 4}.
The domain of g(x) is {x| –4 < x ≤ 3}.

Answer 1

Correct choices:

- The maximum value of the range is 4.
- The range of g(x) is {y | −1 < y ≤ 4}.

Reason: y runs from 4 (included at x = −4) down to −1 (not included at x = 3), so the range is (−1, 4] and the largest value is 4.