Question

What is the average rate of change for this function for the interval fron x=2 to x=4

Answer 1

Subtract the two Y values of X = 2 and X = 4 to find the total difference, then divide by the difference between X=2 and X =4

When X = 2 Y = 9
When X = 4 Y = 64

Difference between the two Y values = 64 -9 = 55
Difference between the two X values = 4-2 = 2

The rate of change = difference in Y divided by difference in X:

55/2 = 27.5