Answer:
[tex](-7,4]\text{ or }\{x|-7<x\leq 4\}[/tex]
Step-by-step explanation:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
[tex](-7,4][/tex]
We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.
And in set notation, this is:
[tex]\{x|-7<x\leq 4\}[/tex]
