Question

Determine the average rate of change for each interval in the graph
interval | average rate of change
r = -2 to r = 1 | ?
r = -2 to r = 5 | ?
r = -2 to r = 8 | ?

Answer 1

I don't have the graph or the function values — can you upload the graph or tell me f(−2), f(1), f(5), and f(8)?

Method/formula you can use:
- Average rate of change on [a,b] = (f(b) − f(a)) / (b − a).

So for your intervals:
- r = −2 to r = 1: average = [f(1) − f(−2)] / 3
- r = −2 to r = 5: average = [f(5) − f(−2)] / 7
- r = −2 to r = 8: average = [f(8) − f(−2)] / 10

If you give the four y-values (or upload the graph), I'll compute the three numbers. If you want an example, say f(−2)=3, f(1)=0, f(5)=−4, f(8)=2 — then the averages would be (0−3)/3 = −1, (−4−3)/7 = −1, and (2−3)/10 = −0.1.