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Concept

Increasing and Decreasing Intervals

A function is said to be increasing when, as the values increase, the values of also increase. On the other hand, the function is considered decreasing when, as increases, decreases. An increasing interval is an interval of the independent variable where the function is increasing. A decreasing interval is an interval of the independent variable when the function is decreasing.
Any points where a function has a maximum or a minimum are not included in either interval. The previous applet shows a function that contains two increasing intervals and one decreasing interval. Each can be described in terms of the values.
Although the entire graph cannot be seen, it is reasonable to assume that it continues in the same manner. In that case, for all values less than will be increasing. For all -values greater than will also be increasing.
The point where a function switches between decreasing and increasing is known as a turning point.
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