How do you find the average rate of

Ashleigh Mitchell

Ashleigh Mitchell

Answered question

2022-04-16

How do you find the average rate of change of f(x)=4x over the interval [0, 9]?

Answer & Explanation

maggionmoo

maggionmoo

Beginner2022-04-17Added 16 answers

The average rate of change of a function f(x) on the interval [a,b] is given by the slope of the seant line connecting (a, f(a)) and (b(f(b)), or:
f(b)f(a)ba
Here, where f(x)=4x, we see that we have a linear function, where the rate of change is always 4, but we can still show that the average rate of change will be 4 using the formula:
=4(9)4(0)90=4(90)90=4

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