Question

determine the domain of the graph below.

Explanation:

Step1: Identify leftmost x - value

The left - most point of the graph has an open circle at \(x=-10\). An open circle means the point is not included, but it shows the start of the domain's interval from the left.

Step2: Identify rightmost x - value

The right - most point of the graph has an open circle at \(x = 5\). This shows the end of the domain's interval from the right.

Step3: Determine the domain interval

The domain of a graph is the set of all \(x\) - values for which the graph exists. Since the graph starts (from the left) just after \(x=-10\) (open circle, so \(-10\) is not included) and ends (on the right) just before \(x = 5\) (open circle, so \(5\) is not included), the domain is \(-10\lt x\lt5\) or in interval notation \((-10,5)\).

Answer:

The domain of the graph is \((-10, 5)\) (or \(-10 < x < 5\))