Given the function #f(x) = (x)/(x+2)#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1,4] and find the c?
1 Answer
Is
Explanation:
To find
The Mean Value Theorem has two hypotheses:
H1 :
H2 :
In this question,
This function is continuous on its domain, (all reals except
This function on this interval satisfies the hypotheses of the Mean Value Theorem.
Therefore, we know without any further work that
there is a
We have also been asked to find the
We need to solve
Note that the solutions are
Of the two solutions, only