Function Domain Analysis: Finding Increasing Intervals from Value Table

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

00:11 At this point the function starts to decrease

00:21 From this we'll deduce the domain of increase

00:29 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 $x < 3$ the X values and Y values increase simultaneously.

Therefore, the function increases in the domain where

$x < 3$

$x<3$