Which of the twelve basic functions are bounded above?

Apr 27, 2015

The Sine function: $f \left(x\right) = \sin \left(x\right)$
The Cosine function: $f \left(x\right) = \cos \left(x\right)$
and
The Logistic function: $f \left(x\right) = \frac{1}{1 - {e}^{- x}}$
are the only function of the "Basic Twelve Functions" which are bounded above.