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WOLFRAM|DEMONSTRATIONS PROJECT

Increasing and Decreasing Functions

Where is the function increasing or decreasing?
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answer
A function
f
is increasing on an interval if
f(a)f(b)
whenever
ab
.
A function
f
is strictly increasing on an interval if
f(a)>f(b)
whenever
ab
.
A function
f
is decreasing on an interval if
f(a)f(b)
whenever
ab
.
A function
f
is strictly increasing on an interval if
f(a)<f(b)
whenever
ab
.
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