Question

Use the graph below for this question: graph of parabola going through 2, negative 3 and 3, negative 1. What is the average rate of change from x = 2 to x = 3?

2
3
0
5

Answer 1

2

Explanation:

The average rate of change from x=a to x=b is found from ...

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

For the points (x, f(x)) = (2, -3) and (3, -1), the average rate of change from x=2 to x=3 is ...

m = (-1 -(-3))/(3 -2) = 2/1 = 2

The average rate of change on the interval is 2.