Function Analysis: Finding Decreasing Intervals Between x=-0.45 and x=0.45

Question

In which field does the function decrease?

Green line $x=-0.45$

Blue line $x=0.45$

00:00 Find the domain where the function decreases

00:03 The function decreases when X values increase and Y values decrease

00:07 Let's start by finding the domains where the function increases

00:13 The function decreases between the increasing domains of the function

00:18 Let's find the exact start and end points of the decreasing domain

00:26 And this is the solution to the question

Let's remember that the function increases if the $x$ 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 notice that the function increases in the domain where $-0.45 < x < 0.45$ , meaning the $y$ values are increasing.

$0.45 > x > -0.45$