Question

what is the domain?
-6 < x < 3
-6 ≤ x < 3
-6 ≤ x ≤ 3
-6 < x ≤ 3

Explanation:

Step1: Identify left domain bound

The graph has a closed dot at $x=-6$, so $x \geq -6$.

Step2: Identify right domain bound

The graph has an open dot at $x=3$, so $x < 3$.

Step3: Combine the bounds

Merge the inequalities for the full domain.

Answer:

$-6 \leq x < 3$