Find the Increasing Domain: Analyzing f(x) Values from -2 to 5

Question

In which domain is the function increasing?

00:00 Find the domain of increase of the function

00:04 The function increases when X and Y values increase simultaneously

00:09 From this point the function begins to increase

00:21 We'll deduce from this the domain of increase

00:30 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 $x > -0.5$ the X values and Y values increase simultaneously.

Therefore, the function increases in the domain where

$x > -0.5$

$x>-0.5$