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Concept

Increasing and Decreasing Intervals

A function is called increasing when as the values increase, the values of also increase. On the other hand, a function is called decreasing when, as increases, decreases. An increasing interval is an interval of the independent variable for an increasing function. A decreasing interval is an interval of the independent variable for a decreasing function.
A point where a function has a maximum or a minimum is neither included in an increasing or a decreasing 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.
A point where the function switches between decreasing and increasing is known as a turning point.