Answers by visitors named: Anoop

Thanks. That helped clear it up, because I wasn't sure what the squared would do. Also, a similar function of h''(x)=(x-1)(x+1)^2(x+2) asks what values of x h''(x) concaves up or down for, and like the other problem, I made a sign chart and got the same critical numbers with the same signs. 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)?

I see. I thought it was -pi to 3pi because the period was 2pi when I was inputting the domain and range.

So to reiterate, the values of c that satisfy the conclusion of the theorem are 15pi/2 and 17pi/2?