Question

What is the range of h

A. The h(x) -values -5,-4,0,2, and 4
B. -4 ≤ h(x) ≤ 6
C. -5 ≤ h(x) ≤ 4
D. The h(x)- values -4,-2,2,4, and 6

Answer 1

Answer: Choice D) The h(x) values -4, -2, 2, 4, and 6

Step-by-step explanation:

The range is the set of all possible y outputs, or h(x) outputs.

We simply list the y coordinate of each blue point shown on the graph.

We cannot say something like -4 ≤ h(x) ≤ 6 because there are gaps where the function is not defined. For instance, h(x) = 0 is not possible, so 0 is not in the range. Put another way: there is no point with y coordinate 0 on the graph, so that's why 0 is not part of the range.