How do you determine whether the function #f(x) = abs(x-3)# satisfies the hypotheses of the mean value theorem on the indicated interval (a,b), and if so how do you find all numbers c on [0,4] ?
1 Answer
The Mean Value Theorem has two hypotheses:
H1 :
H2 :
In this question,
We can apply the Mean Value Theorem if both hypotheses are tru
This function is continuous on its domain,
Now,
So, for the derivative, we have:
So
This function does not satisfy the hypotheses on
In addition , since the derivative is always
and
There is no
(There is no