Question

Calculate the average rate of change over the interval from x=1 to x=3

-2

6

8

12

Answer 1

The average rate of change over the given interval is 12

Explanation:

Here, we want to calculate the average rate of change over the given interval

Mathematically, we can calculate the average rate of change using the formula below;

f(b) - f(a)/b-a

The f values are same as the y values

Thus, we have it that;

a = 1 and b = 3

f(a) = -5 and f(b) = 19

The average rate of change is thus;

(19-(-5))/(3-1) = 24/2 = 12