Answer:
Domain: (-3, 1]
Range: [-4, 0]
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that is outputted by function f(x).
We see that our x-values span from -3 to 1. Since -3 is open dot, it is not included in the domain:
(-3, 1] or -3 < x ≤ 1
We see that our y-values span from 0 to -4. Since 0 is closed dot at x = 0, it is included in the range:
[-4, 0] or -4 ≤ x ≤ 0