Function Domain Analysis: Finding Intervals of Increase with x=1.1

Question

In what domain does the function increase?

Black line: $x=1.1$

00:00 Find the increasing domain of the function

00:03 The function increases when X and Y values increase simultaneously

00:07 Let's find the increasing domain of the function

00:11 We'll precisely identify the starting and ending points of the increase

00:16 And this is the solution to the question

Remember that a function is increasing if the $x$ values and $y$ values are increasing simultaneously.

A function is decreasing if the X values are increasing and the Y values are decreasing simultaneously.

In the plotted graph, we can see that in the domain $1.1 > x > 0$ the function is increasing—meaning the $y$ values are increasing.

$1.1 > x > 0$