Function Analysis: Finding Increasing Intervals in Domain [-2, 5]

Question

In which domain is the function increasing?

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

00:06 The function grows when both X and Y values grow together.

00:15 From this point, the function starts to increase.

00:23 We can determine from this where the function is increasing.

00:30 And that's how we find the solution to the question!

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

Therefore, the function increases in the domain where

$x > 0$

$x>0$