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}
{x | −2 < x ≤ 4}
{y | −5 < y < −1}
{y | −5 ≤ y ≤ −1}

Answer 1

Answer: {y | −5 ≤ y ≤ −1}

Step-by-step 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 | −5 ≤ y ≤ −1}.