Question

what is the range of this graph?
options:
-1 ≤ y < ∞
-∞ < y ≤ 0.5
-∞ < x ≤ 0.5
-1 ≤ x < ∞

Explanation:

Step1: Identify range definition

Range = all valid y-values of the graph

Step2: Locate highest y-value

The peak has y = 2.5 (≤ ∞)

Step3: Locate lowest y-value

The closed dot has y = -1 (≥ -1)

Step4: Combine bounds

All y-values satisfy $-1 \leq y < \infty$

Answer:

-1 ≤ y < ∞