A is called increasing
when as the x-
values increase, the values of f(x)
. On the other hand, a function is called decreasing
when, as x
increases, f(x) decreases
. An increasing interval
is an of the 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 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-
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.
A point where the function switches between decreasing and increasing is known as a .