Fill in the function analysis table.

$x$		$x<$	-4	$<x<$	-1	$<x<$	6	$<x$
$f$		????????? 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
		????????? convex concave straight		????????? convex concave straight		????????? convex concave straight		????????? convex concave straight
$f'$		????????? + - 0	-	????????? + - 0	-	????????? + - 0	0	????????? + - 0
		????????? increasing decreasing constant		????????? increasing decreasing constant		????????? increasing decreasing constant		????????? increasing decreasing constant
$f''$		+	0	-	0	+	+	+

Recall that 'convex' means 'concave up' and 'concave' means 'concave down'. Also recall that an inflection point is a point where the convexity of the function changes.