Function Domain Analysis: Finding Intervals of Increase from Graph

Question

In what domain does the function increase?

00:00 Find the domain where the function increases

00:04 A function increases if X and Y values increase simultaneously

00:07 We can see that while X is less than 0, the function decreases

00:13 We notice there's a change at the origin point

00:17 The function increases as long as X is greater than 0

00:20 And this is the solution to the question

Let's remember that the function increases if the $x$ values and $y$ values increase simultaneously.

On the other hand, the function decreases if the $x$ values increase while the $y$ values decrease simultaneously.

In the given graph, we can see that the function increases in the domain where $x > 0$ ; in other words, where the $y$ values are increasing.

$x > 0$