Question

Step 1

**(A)**

There are two conditions to check whether any function satisfies mean value theorem

(i)

That function needs to be continuous on given interval

Here, we know that x can not be only 0

and 0 does not lie on [1/8 , 8]

So, this function is continuous over entire interval

**(ii)**

Since, there is no sharpe edge in this function

and function is continuous on given interval

So, this function must be differentiable on (1/8 , 8)

So, this function satisfies mean value theorem

Step 2

**Answer:**

**This function satifies mean value theorem**

Step 3

**(B)**

We can use mean value theorem formu...

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