Identify which of the twelve basic functions listed below fit the description given.
-The three functions that are bounded above
A) $y = \ln x , y = \sqrt { x } , y = \frac { 1 } { 1 + e ^ { - x } }$
B) $y = \sin x , y = \cos x , y = \operatorname { int } ( x )$
C) $y = \sin x , y = \cos x , y = \frac { 1 } { 1 + e ^ { - x } }$
D) $y = \sin x , y = \cos x , y = \ln x$

Question

Quizplus · Accepted Answer

Functions $y = \sin x$ and $y = \cos x$ are bounded above by 1, as their ranges are $[-1, 1]$. The function $y = \frac{1}{1 + e^{-x}}$ is also bounded above by 1, as it approaches 1 but never exceeds it for all real values of $x$.

Identify Which of the Twelve Basic Functions Listed Below Fit y=ln⁡x,y=x,y=11+e−xy = \ln x , y = \sqrt { x } , y = \frac { 1 } { 1 + e ^ { - x } }y=lnx,y=x​,y=1+e−x1​

Identify Which of the Twelve Basic Functions Listed Below Fit $y = \ln x , y = \sqrt { x } , y = \frac { 1 } { 1 + e ^ { - x } }$