How do you find the average rate of

Deja Vaughn

Deja Vaughn

Answered question

2022-04-13

How do you find the average rate of change of f(x)=x+x4 from [-2,4]?

Answer & Explanation

anita1415snck

anita1415snck

Beginner2022-04-14Added 19 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
here a=-2 and b=4
f(4)=4+(4)4=260
and f(2)=2+(2)4=14
The average rate of change between (-2 ,14) and (4 ,260) is
260144(2)=41
This means that the average of all the slopes of lines tangent to the graph of f(x) in the interval [-2 ,4] is 41.

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