Question

Determine the average rate of change in the function on the interval [1, 7]. f(x)= 2x+2

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1 2/3 2 1/3

Answer 1

average rate of change = 2

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, 7 ] , then

f(b) = f(7) = 2(7) + 2 = 14 + 2 = 16

f(a) = 2(1) + 2 = 2 + 2 = 4 , then

average rate of change =
`(16-4)/(7-1)` =
`(12)/(6)` = 2