Textbook Problem

57-60 Sketch the graph of a function that satisfies all of the given conditions.

$\begin{array}{l}f\prime \left(2\right)=0,f\prime \left(0\right)=1f\prime \left(x\right)>0\text{ if }0<x<2,\\ f\prime \left(x\right)<0\text{ if }x>2,f\prime \prime \left(x\right)<0\text{ if }0<x<4,\\ f″\left(x\right)>0\text{ if }x>4,{{\displaystyle \lim }}_{x\to \infty }f\left(x\right)=0,\\ f\left(-x\right)=-f\left(x\right)\text{ for all }x\end{array}$