Question

Suppose that f(-3)=-1, f'(-3)=0, and f''(-3)=2. is x=-3 a local min point

Answer 1

f ' (-3) = 0 means that there is a critical value at x = -3

f '' (-3) = 2 means that the graph is concave up at x = -3

So using this info, would you agree or disagree with the given statement "x=-3 a local min point"

Answer 2

using what you have stated i think it may be the local point?

Answer 3

here is a concave up section

Answer 4

we know x = -3 is a critical value and x = -3 is in a concave up region, so we can place x = -3 here