Function Domain Analysis: Finding Intervals Where Function is Increasing

Question

In which domain is the function increasing?

00:00 Find the domain of increase of the function

00:03 The function increases when X and Y values increase simultaneously

00:12 From this point the function begins to increase

00:21 We can deduce from this the domain of increase

00:31 And this is the solution to the question

Let's remember that the function increases when X values and Y values increase simultaneously.

On the other hand, the function decreases when X values increase and Y values decrease simultaneously.

According to the given value table, we can see that in the domain where $0 > x$ X values and Y values increase simultaneously.

Therefore, the function increases in the domain where

$x > 0$

$x>0$