How do you find the average rate of

Annie Rice

Annie Rice

Answered question

2022-04-16

How do you find the average rate of change of f(x)=1x from [1,2]?

Answer & Explanation

pobijedi6wro

pobijedi6wro

Beginner2022-04-17Added 15 answers

The average rate of change of function f on interval [a,b] is
f(b)f(a)ba
it is the ratio of the changes, it may also be written fx and it may be thought of as the slope of the line through the endpoints of the graph of f on the interval.
Algebraically it is (one version of) the difference quotient. (The quotient of the differences in f values and x values)
In this case
f(2)f(1)21=(12)(1)21=12
vadomosigmx6

vadomosigmx6

Beginner2022-04-18Added 12 answers

Explanation:
f(b)f(a)ba
a=2,b=1,f(x)=1x
Result:
f(b)f(a)ba=12(1(1))ba
f(b)f(a)ba=0.5

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?