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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 $x-$values.

$From left side tox=-2Fromx=-2tox=0Fromx=0to right side →→→ IncreasingDecreasingIncreasing $

Although the entire graph cannot be seen, it is reasonable to assume that it continues in the same manner. In that case, for all $x-$values less than $x=-2,$ $f$ will be increasing. For all $x$-values greater than $x=0,$ $f$ will also be increasing.
$Increasing Intervals:-∞0Decreasing Interval:-2 <x<-2<x<∞<x<0 $

A point where the function switches between decreasing and increasing is known as a turning point.