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      1 # Monotonic Functions 
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      3 Stats
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      5 **Definition:** A monotonically increasing function is one where as the input increases the output either stays the same or increases. The inverse is also true with a monotonically decreasing function. The statement of monotonicity simply means always increasing or decreasing.
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      7 Another variant upon monotonic functions is the strictly function which is always moving in some direction and never stagnates. An example is f(x) = x where the function is strictly increasing for all reals.