Finding Increasing Intervals: Function Analysis with Vertical Line x=0.6

Question

In what interval is the function increasing?

Purple line: $x=0.6$

00:06 Let's find where the function is increasing.

00:09 The function increases as both X and Y values go up together.

00:15 It continues to increase until we reach the purple line.

00:19 This area is the domain where our function increases.

00:24 And that's how we solve this problem!

Let's remember that a function is described as increasing if both X values and Y values are increasing simultaneously.

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

In the graph, we can see that in the domain $x < 0.6$ the function is increasing, meaning the Y values are increasing.

$x<0.6$