Question

From the graph of the function, determine the domain and the range.

Answer 1

Answer:

Domain: [-2, 0)U(0, positive infinity)

Range: (negative infinity, -2)U(0, -2]

Step-by-step explanation:

Domain is the set of x-values that can be plugged in to get an output in a graph. In this case, no number lower than -2 can be used, so your domain has to be x ≥ -2. We also have a hole at our y-intercept that can't be used, so we have to include that in our answer as well using a union.

Range is the set of y-values that can be outputted by x in the graph. Since x ≥ -2, we know the output of -2 is 0, so no value goes above 0 as the graph is infinitely decreasing. We also have to address the hole issue in the range just like in the domain.