The problem asks us to find the domain of the function represented by the graph, and express the domain in interval notation. The graph is a parabola-like curve opening upwards with open circles at $x = -2$ and $x = 4$.

1. Problem Description

The problem asks us to find the domain of the function represented by the graph, and express the domain in interval notation. The graph is a parabola-like curve opening upwards with open circles at $x = -2$ and $x = 4$.

2. Solution Steps

The domain of a function is the set of all possible input values (x-values) for which the function is defined. Looking at the graph, we can see that the function is defined for all $x$-values between $-2$ and $4$, but not including $-2$ and $4$ themselves because the circles at these points are open. In interval notation, we use parentheses "(" and ")" to indicate that the endpoints are not included in the interval.

3. Final Answer

The domain of the function in interval notation is $(-2, 4)$.