Question

What is the average rate of change of the function f(x)=2(3)x from x = 2 to x = 4?

Answer 1

X) = 3 ln(x)

g(x=2) = 3 ln(2)
g(x=4) = 3 ln(4) = 3 ln(22) = 6 ln2

We have two ordered pairs:

(x,3 ln(2)) and (4,6 ln(2))

The average rate of change is the slope (m) of the secant line connecting the two points:

m = (6 ln2 - 3 ln2)/(4-2) = 3ln(2)/2 ≅ 1.04

Answer 2

Answer:

The answer is 72.

Step-by-step explanation: