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Determine the average rate of change for f(x)= 3(2)^2x on the interval 4<x<5 show your work!!!?
4 Answers
- ?Lv 55 years ago
f(4) = 3(2)^2(4) = 3(2)^8 = 3(256) = 768
f(5) = 3(2)^2(5) = 3(2)^10 = 3(1024) = 3072
rate of change = delta y / delta x = (3072 - 768) / (5 - 4) = 2304
- 5 years ago
Plot the points and find the slope between them
(f(5) - f(4)) / (5 - 4) =>
(f(5) - f(4)) / 1 =>
f(5) - f(4) =>
3 * 2^(2 * 5) - 3 * 2^(2 * 4) =>
3 * (2^10 - 2^8) =>
3 * 2^8 * (2^2 - 1) =>
3 * 256 * 3
- 5 years ago
I think you get f '(x) =(6ln2)2^2x , surely to find average you can just either take x=4.5 or take a few points and find average by doing sum of those values divided by how many there are
- Anonymous5 years ago
It's just ( f(5) - f(4) ) / (5 - 4).
I won't insult your intelligence by working that out for you.
