Chapter 4.1, Problem 68E

In Problems 61-68, f(x) is continuous on (−∞,∞). Use the given information to sketch the graph off.

68.     $\begin{array}{l}f\left(-1\right)=2,f\left(0\right)=f\left(1\right)=2;\hfill \\ f\prime \left(-1\right)=0,f\prime \left(1\right)=0,f\prime \left(0\right)\text{ is not defined};\hfill \\ f\prime \left(x\right)>0\text{ on }(-\infty ,-1)\text{ and }\left(0,1\right);\hfill \\ f\prime \left(x\right)<0\text{ on }\left(-1,0\right)\text{ and }(1,\infty )\hfill \end{array}$