Consider the function

A function is said to be increasing if for every values of its domain

So that and said to be decreasing if

Respectively.

(a) Given that and that means and the domain is

To determine whether the given function is increasing or decreasing on

Apply the condition stated above by taking two test values of the domain as

shown below:

Let so that

Now consider and determine the sign of inequality to decide the

Increasing or decreasing nature of the given function.

Therefore

Thus, for indicating that the given function is

Increasing

Therefore for the function is increasing.