Q. 9 5.0( 1 Vote )

Find the maximum and the minimum values, if any, without using derivatives of the following functions:

f(x) = x3 – 1 on R

Answer :

We have f(x) = x3 – 1 on R

Here, we observe that the values of f(x) increase when the values of x are increased, and f(x) can be made large, by giving large value.

So, f(x) does not have the maximum value

Similarly, f(x) can be made as small as we want by giving smaller values to x.

So, f(x) does not have the minimum value.

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