How do you find the average rate of

Briley Cabrera

Briley Cabrera

Answered question

2022-04-16

How do you find the average rate of change of the function y=4x2 over the interval [1, 5]?

Answer & Explanation

resacarno4u

resacarno4u

Beginner2022-04-17Added 12 answers

the average rate of change of y = 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.
f(b)f(a)ba
f(5)=4(5)2=100andf(1)=4(1)2=4
The average rate of change between (1 ,4) and (5 ,100) is
100451=964=24
This means that the average of the slopes of lines tangent to the graph of f(x) between (1 ,4) and (5 ,100) is 24.

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