Function Analysis

The graph of the function $f$ is given below. Assume that $f$ is as smooth as the graph allows.

Fill in the function analysis table.

 $x$ $x<-4$ $x=-4$ $-4 $x = -1$ $-1 $x=6$ $6 $f$ ????????? increasing decreasing constant ????????? nothing loc max loc min inflection corner ????????? increasing decreasing constant ????????? nothing loc max loc min inflection corner ????????? increasing decreasing constant ????????? nothing loc max loc min inflection corner ????????? increasing decreasing constant ????????? concave up concave down straight ????????? concave up concave down straight ????????? concave up concave down straight ????????? concave up concave down straight $f'$ ????????? + - 0 ????????? + - 0 undef ????????? + - 0 ????????? + - 0 undef ????????? + - 0 ????????? + - 0 undef ????????? + - 0 ????????? increasing decreasing constant ????????? increasing decreasing constant ????????? increasing decreasing constant ????????? increasing decreasing constant $f''$ ????????? + - 0 ????????? + - 0 undef ????????? + - 0 ????????? + - 0 undef ????????? + - 0 ????????? + - 0 undef ????????? + - 0