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 lowest y-value

The left endpoint (open circle) is at $(-5, 2)$, so the minimum y-value is 2 (not included).

Step2: Identify highest y-value

The right endpoint (open circle) is at $(3, 5)$, so the maximum y-value is 5 (not included).

Step3: Write range as inequality

The y-values lie between 2 and 5, not including the endpoints.

Answer:

$2 < y < 5$