Find the ma

We have f(x) = 2x³ + 5 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,

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.