Function Domain Analysis: Finding Intervals Where f(x) is Increasing

Question

In which domain is the function increasing?

00:00 Find the domain of increase of the function

00:04 The function increases when X and Y values increase simultaneously

00:10 From this point the function starts to increase

00:16 At this point the function decreases again

00:22 We will deduce from this the domain of increase

00:33 And this is the solution to the question

Note 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 $2.5 > x > 0$ the X values and Y values increase simultaneously.

Therefore, the function increases in the domain where

$2.5 > x > 0$

$2.5>x>0$