Question

calculate the average rate of change over the interval [1,3] for the following function f(x) = 4(5)^x

Answer 1

240

Explanation:

The average rate of a function f(x) is interval [a,b] is given by :-

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

Now, the given function : F(x) = 4(5)^x

Interval : [1,3]

Now, the average rate of change over the interval [1, 3] is given by :-

R = F(3) - F(1) / (3 - 1)

= 4(5)^3 - 4(5)^1 / 2

= 4(5^3 - 5) / 2

= (4(125 - 5) / 2) = 240

Hope It helped