Determine the Domain of Increasing Behavior in a Curved Function Graph

Question

In what domain is the function increasing?

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Video Solution

Solution Steps

00:00 Find the domain of increase of the function
00:03 A function increases if X and Y values increase simultaneously
00:08 It seems the function is increasing all the time
00:13 And this is the solution to the question

Step-by-Step Solution

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

Conversely, a function is decreasing if the X values are increasing while the Y values are decreasing simultaneously.

In the graph shown, we can see that the function is increasing in every domain and therefore the function is increasing for all values of X.

Answer

All values of x x

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Question Types

Increasing and Decreasing Intervals of a Function: Finding Increasing or Decreasing Domains