Finding Decreasing Intervals: Analyzing Function Behavior on a Grid

Question

In which domain does the function decrease?

00:00 Find the decreasing domain of the function

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

00:07 Let's observe from the table when Y values are decreasing

00:11 From here Y values start to increase - meaning not a decreasing domain

00:22 We'll deduce the decreasing domain from this

00:29 And this is the solution to the question

Let's remember 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 $x < 0$ X values increase and Y values decrease simultaneously.

Therefore, the function decreases in the domain where

$x < 0$

$x<0$