Chapter 4.2, Problem 56E

To determine

To sketch: The graph of a the function f that is continuous on $\left(-\infty ,\infty \right)$ and has the property that $f\prime \left(x\right)<0\text{and}{f}^{″}\left(x\right)>0$ on $\left(-\infty ,0\right)$; $f\prime \left(x\right)<0\text{and}{f}^{″}\left(x\right)<0$ on $\left(0,\infty \right)$.