What is the average rate of change of the function on the interval from x = 0 to x = 5? 𝑓(𝑥) = 1/2 (3)x
What is the average rate of change of the function on the interval from x = 0 to x = 2? 𝑓(𝑥) = 250(0.5)x
Avg Rate of Change =
[ f(5) - f(0)] / [ 5 - 0 ] =
[(1/2) ( 3^5 - 3^0) ] / 5 =
(243 - 1) / 10 =
242 / 10 =
24.2
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[ f(2) - f(0)] / [ 2 - 0] =
[ 250 [ (1/2)^2 - (1/2)^0 ] / 2 =
125 [ 1/4 - 1 ] =
125 (-3 / 4) = -93.75