Consider the function 3-x²/2 if x ≤ 1 f(x) = 1/x if x 1. Show that f satisfies the conditions of

Question

Consider the function

3-x²/2  if x ≤ 1
f(x) = 
            1/x  if x > 1.

Show that f satisfies the conditions of the mean value theorem on the interval [0, 2] and
determine all the values of c that satisfy the condition of the mean value theorem.

Kunduz · Accepted Answer

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