How do you find the average rate of

Blaze Shepherd

Blaze Shepherd

Answered question

2022-04-14

How do you find the average rate of change of f(x)=x26x+8 over the interval [4,9]?

Answer & Explanation

riasc31lj

riasc31lj

Beginner2022-04-15Added 8 answers

The average rate of change of f(x) over an interval between 2 points (a ,f(a)) and (b ,f(b)) is the slope of the secant line connecting the 2 points.
To calculate the average rate of change between the 2 points use.
f(b)f(a)ba
f(9)=926(9)+8=35
and f(4)=426(4)+8=0
The average rate of change between (4 ,0) and (9 ,35) is
35094=355=7
This means that the average of all the slopes of lines tangent to the graph of f(x) between (4 ,0) and (9 ,35) is 7.

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