h''(x)=(x-1)(x+1)^2(x+2) asks what values of x does h''(x) concaves up or down for. I made a sign chart and got the critical numbers -1, 1, and 2, with the signs (in order of the c.n.s) being +,-,-, and +. Based off of the signs, does h''(x) concave down on (-1,1) and 1,2) and h''(x) concaves up on (-infinity, -1) and (2, infinity)?

Question

h''(x)=(x-1)(x+1)^2(x+2) asks what values of x does h''(x) concaves up or down for.  I made a sign chart and got the critical numbers -1, 1, and 2, with the signs (in order of the c.n.s) being +,-,-, and +. Based off of the signs, does h''(x) concave down on (-1,1) and 1,2) and h''(x) concaves up on (-infinity, -1) and (2, infinity)?