Question

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

Answer 1

The average rate of change over the interval is 120

Explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

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

in this case, a is 2 and b is 4

f(b) is 256 and f(a) is 16

Substituting these values in the equation for rate of change, we have;

(256-16)/(4-2) = 240/2 = 120