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

Question

In which domain is the function increasing?

00:03 Let's find where the function is increasing.

00:07 The function increases when both X and Y go up together.

00:13 From this point on, the function starts to rise.

00:19 Then here, the function begins to fall again.

00:25 Let's figure out where the function is increasing.

00:36 And that's how we solve this 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

$2.5 > x > 0$

$2.5>x>0$