Finding the Domain of Increase: Analyzing a Semicircular Function

Question

In what domain does the function increase?

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

00:06 It increases when both the X values and Y values go up together.

00:12 Now, let's identify where the function decreases.

00:17 So, this is where the function increases.

00:21 And that's how we solve 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.

$x<0$