Question
What is the average rate of change of the function over the interval x = 0 to x = 8?
f(x)=2x−1/3x+5
Enter your answer, as a fraction, in the box.
f(x)=2x−1/3x+5
Enter your answer, as a fraction, in the box.
Asked by: USER1529
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163 Answers
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Answer (163)
From the function:
f(x)=2x-1/3x+5
the rate of change in the intervals given is calculated using the formula:
[f(b)-f(a)]/(b-a)
Given that our interval is [0,8], the rate of change will be:
f(8)=2(8)-1/3(8)+5
f(8)=18 1/3
also:
f(0)=2(0)-1/3(0)+5
f(0)=5
thus the rate of change will be:
(18 1/3-5)/(8-0)
=(13 1/3)/8
=1 2/3
f(x)=2x-1/3x+5
the rate of change in the intervals given is calculated using the formula:
[f(b)-f(a)]/(b-a)
Given that our interval is [0,8], the rate of change will be:
f(8)=2(8)-1/3(8)+5
f(8)=18 1/3
also:
f(0)=2(0)-1/3(0)+5
f(0)=5
thus the rate of change will be:
(18 1/3-5)/(8-0)
=(13 1/3)/8
=1 2/3
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