(Note:  on this question, your answer will initially be marked wrong until the instructor has a chance to grade it; so don't panic!)

 

Sketch the graph of a continuous function that satisfies the following conditions:

 $\displaystyle {f}'{\left({x}\right)}>{0}$  on  $\displaystyle {\left(-\infty,{2}\right)}$ 

$\displaystyle {f}'{\left({x}\right)}<{0}$   on  $\displaystyle {\left({2},\infty\right)}$ 

$\displaystyle {f}{''}{\left({x}\right)}>{0}$  on $\displaystyle {\left(-{1},{1}\right)}$ 

$\displaystyle {f}{''}{\left({x}\right)}<{0}$   on  $\displaystyle {\left(-\infty,-{1}\right)}$ and $\displaystyle {\left({1},\infty\right)}$