Increasing Function Domain: Analyzing Graph from x=-2 to x=8

Question

In which domain is the function increasing?

00:03 Let's find where the function increases.

00:07 A function increases when both the X and Y values grow together.

00:13 Starting here, the function begins to go up.

00:18 Here, the function starts to go down again.

00:27 We can see this is where the function increases.

00:32 And that's how we solve the problem!

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 $1.5 > x > 0$ the X values and Y values increase simultaneously.

Therefore, the function increases in the domain where

$1.5 > x > 0$

$1.5>x>0$