Question

Rate of change question...
Let f(x)= (1/x)

a) Find the average rates of change of f(x) over the intervals [1,1.1], [1,1.01], and [1,1.001].

Thanks

Answer 1

To find the average rate of change over the interval [a,b]
you simply do:
\[\frac{f(a)-f(b)}{a-b}\]

Answer 2

I know the formula, I just am having a hard time solving it because the X values are all the same

Answer 3

No I read that wrong initially. You are given intervals \(x \in [1, 1.1]\), so
you need to find the corresponding f(x) values when \(x=1\) and when \(x=1.1\)

\(f(1)=\dfrac{1}{1}\)
\(f(1.1)=\dfrac{1}{1.1}\)

Answer 4

do the same for the other 2 intervals

Answer 5

thank you