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

Question

In what interval is the function increasing?

Purple line: x=0.6 x=0.6

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Video Solution

Solution Steps

00:00 Find the domain of increase of the function
00:03 The function increases when X and Y values increase simultaneously
00:06 The function increases up to the green line
00:09 This is the domain of increase
00:14 And this is the solution to the question

Step-by-Step Solution

Let's remember that a function is 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.

Answer

x<0.6