a) From the graph, when x = -2, the value of the function is 0, that is, h(-2) = 0. Similarly, when x = 0, h(0) = -2; when x = 2, h(2) = 2; when x = 3, h(3) = 3.
b) The domain is the set of all possible x-values.
The range is the set of all possible y-values.
From the graph, the domain is [-3, 4]. And the range is [-2, 3].
c) h(x) = 2 corresponds to the next x-values: -3, 2, 4
d) The value of the function is less than or equal to 2 between -3 and 2, both values included, and when x is equal to 4. Then, the correct option is [-3, 2] and 4.
e) The net change of the function between x = -3 and x = 3 is calculated as follows:
Net change = h(3) - h(-3)
Net change = 3 - 2
Net change = 1