Finding the Domain of Increase: Analyzing a Semicircular Function

Question

In what domain does the function increase?

00:00 Find the increasing domain of the function

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

00:09 First, let's find the decreasing domain

00:14 This is the increasing domain

00:18 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 and the Y values decrease simultaneously.

In the given graph, we notice that the function increases in the domain where $x < 0$ , meaning the Y values are increasing.

$x<0$