Question

I can't get to get this right can you please help me​

Answer 1

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:

(-7,4](−7,4]

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:

\{x|-7

Answer 2

`(-7,4]\text{ or }\x`

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:

`(-7,4]`

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:

`\-7<x\leq 4\`