Question

Given the function defined in the table below, find the average rate of change, in

simplest form, of the function over the interval 4 < x < 7.
f(x)
3
5
4.
9
5
15
6
23
7
33
Answer:
Submit Answer
attempt 2 out of 2

Answer 1

8

Explanation:

It appears your table includes points (4, 9) and (7, 33). The average rate of change on the interval is the slope of the line between these two points:

m = (y2 -y1)/(x2 -x1)

m = (33 -9)/(7 -4) = 24/3 = 8

The average rate of change is 8.