Question: Determine the domain of the following graph: [Graph of a function with x-axis ranging from -12 to…

Determine the domain of the following graph:

[Graph of a function with x-axis ranging from -12 to 12 and y-axis ranging from -12 to 12. The graph is a smooth curve that starts at (-12, -6), goes up to a maximum point at (0, 8), then goes down to a minimum point at (6, -6), and ends at (12, 6).]

Solution

The problem asks to determine the domain of the given graph. To find the domain, identify the set of all possible \(x\)-values that the graph includes. Observing the graph: The graph starts at \(x = -9\) and ends at \(x = 9\). Therefore, the domain of the graph is the interval: \[ [-9, 9] \]