Answer:
Domain:
![(-4,4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/np38h4osg938qfykae663w71rkux2w9ihk.png)
Range:
![[-3,0]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5nw43fsb5d2psuv15j58oi25wl9txnhlox.png)
Explanation:
we are given a graph
Domain:
we know that domain is all possible values of x for which any function is defined
so, we will consider all possible values of x at which curve exists will be our domain
We can see that
smallest x-value is -4
and largest x-value is 4
But there is open circle at (-4,0) and (4,0)
so, domain will be
![(-4,4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/np38h4osg938qfykae663w71rkux2w9ihk.png)
Range:
we know that range is all possible y-values
so, we will consider all possible values of y at which curve exists will be our domain
smallest y-value is -3
and largest y-value is 0
and there is closed circle on them
so, range will be
![[-3,0]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5nw43fsb5d2psuv15j58oi25wl9txnhlox.png)