Question

determine the domain of the following graph:

Explanation:

Step1: Understand the domain concept

The domain of a function is the set of all possible \(x -\)values for which the function is defined.

Step2: Identify the left - most and right - most \(x\) values

Looking at the graph, the left - most \(x\) value (where the graph starts) is \(x=-8\) and the right - most \(x\) value (where the graph ends) is \(x = 9\).

Step3: Write the domain in interval notation

Since the endpoints are included (the graph has solid dots at \(x=-8\) and \(x = 9\)), the domain is \([-8,9]\)

Answer:

\([-8,9]\)