ANSWER
[tex]\begin{gathered} \text{Domain: -7 }\leq x\leq3 \\ \text{Range: }-1\text{ }\leq y\leq9 \end{gathered}[/tex]
EXPLANATION
We want to find the domain and range of the function.
The domain of a function is the set of all input values of the function. Basically, the set of all x values of a function.
The range of a function is the set of all output values of the function. Basicallly, the set of all y values of a function.
To find the domain of the function, we have to look at the smallest and largest values of x.
The smallest value of x is -7.
The largest value of x is 3.
So, the domain is:
[tex]-7\text{ }\leq x\text{ }\leq3[/tex]
To find the range of the function, we have to look at the smallest and largest values of y.
The smallest value of y is -1.
The largest value of y is 9.
So, the range is:
[tex]-1\text{ }\leq y\leq9[/tex]
