Question

this is the graph of a linear function.
what is the range of the function?
write your answer as an equation like x = 5, as an inequality like y > 3, or as a compound inequality like 2 ≤ x < 4.

Explanation:

Step1: Identify the endpoints

The graph has two endpoints. One is at \( y = -10 \) (the lower point) and the other at \( y = -2 \) (the upper point).

Step2: Determine the range

Since it's a linear function (a line segment here), the range includes all \( y \)-values between the minimum and maximum \( y \)-values of the endpoints. The minimum \( y \)-value is \( -10 \) and the maximum is \( -2 \), and since the endpoints are included (dots are filled), the range is \( -10 \leq y \leq -2 \).

Answer:

\( -10 \leq y \leq -2 \)