Question

Because this function is continuous to the interval [-10,10], we can apply the extreme value theorem. Describe what this means for the function?

Answer 1

Let, any function f(x) is continuous to the interval [-10,10]

Then extreme value theorem states that the function have both of maximum and minimum value in the interval [-10,10].

The Procedure Of Finding Max or Min Value Is as follows :

Step1// differentiate f(x) with respect to x.

Step2// find the critical values using f'(x)=0.

Step3// find the values of f(x) at each critical points and at each of end points.

Step 4// the least of these values is minimum and the greatest of these values is maximum.