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Calculate the average rate of change of the function f(x) = 3x2 over the interval 1 ≤ x ≤ 5.

User Zaan
by
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2 Answers

3 votes

Answer:18

Explanation:

here [ a, b ] = [ 1, 5 ]

f(b) = f(5) = 3 × 5² = 75

f(a) = f(1) = 3 × 1² = 3, hence

average rate of change = = = 18

User Ronszon
by
8.4k points
7 votes

Answer:

18

Explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is


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

here [ a, b ] = [ 1, 5 ]

f(b) = f(5) = 3 × 5² = 75

f(a) = f(1) = 3 × 1² = 3, hence

average rate of change =
(75-3)/(5-1) =
(72)/(4) = 18

User Brasserie
by
7.6k points

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