Answer
See graph and explanations.
Work Step by Step
Rewrite the given conditions as the following function behaviors:
$x\lt-2$: increase, concave down;
$x=-2$: maximum, concave down;
$-2\lt x\lt-1$: decrease, concave down;
$x=-1$: decrease, inflection point;
$-1\lt x\lt0$: decrease, concave up;
$x=0$: minimum, concave up;
$0\lt x\lt1$: increase, concave up;
$x=1$: increase, inflection point;
$1\lt x\lt2$: increase, concave down;
$x=2$: maximum, concave down;
$x\gt2$: decrease, concave down;
Sketch the function based on the conditions as shown in the figure.
