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What is the average rate of change of f(x)=x2+x−6 between x=3 and x=9?

User Jsdream
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1 Answer

5 votes

Answer:

13

Explanation:

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


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

here [ a, b ] = [ 3, 9 ]

f(b) = f(9) = 9² + 9 - 6 = 84

f(a) = f(3) = 3² + 3 - 6 = 6

average rate of change =
(84-6)/(9-3) =
(78)/(6) = 13


User Brantgurga
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