Question

What is the average rate of change of f(x), represented by the table of values, over the interval [-2, 3]?

x

f(x)

-6 2.5
-2 2.5
0 2
2 0
3 5



5



2.5



1



0.5

Answer 1

0.5

Explanation:

The average rate of change (m) on the interval [a, b] is ...

m = (f(b) -f(a))/(b -a)

On the interval [-2, 3], the average rate of change is ...

m = (5 -2.5)/(3 -(-2)) = 2.5/5 = 0.5