Question

The graph of the piecewise function f(x) is shown.

On a coordinate plane, a piecewise function has 2 connecting lines. The first line has a closed circle at (negative 2, negative 5) and goes up to a closed circle at (2, negative 1). The second line has a closed circle at (2, negative 1) and goes down to an open circle at (4, negative 2).

What is the range of f(x)?

x
−2 < x ≤ 4
−5 < y < −1
y

Answer 1

Answer: y

Explanation:

The extreme values are -5 and -1.

• There is a closed circle at (-2, -5), so -5 is in the range.
• There is a closed circle at (2, -1), so -1 is in the range.

So, the answer is y .