Question

determine the domain of the following graph:

Explanation:

Step1: Identify leftmost x - value

The leftmost point of the graph has an x - coordinate of - 8 (since there is a closed dot at x=-8, indicating that - 8 is included in the domain).

Step2: Identify rightmost x - value

The rightmost point of the graph has an x - coordinate of 8 (since there is a closed dot at x = 8, indicating that 8 is included in the domain).

Step3: Determine the domain

The domain of a graph is the set of all x - values for which the graph exists. Since the graph extends from x=-8 (inclusive) to x = 8 (inclusive), the domain is \(-8\leq x\leq8\) or in interval notation \([-8,8]\).

Answer:

The domain of the graph is \([-8, 8]\) (or \(-8\leq x\leq8\))