a.)Determine the location of the turning points for the cubic y=x^3-3x^2+2x+10. What are the maximum and minimum values for this function?

b.)Use the fact that a cubic is symmetric about its point of inflection to determine the location of the point of inflection of the cubic in part (a).

2 answers

pre cal...wondering if you have had derivites.

y'=2x^2-6x+2=0
so max, min occur at (x-1)(x-2)=0 or at x=1, or x=2
y"=4x-6=0 or x=1.5 (halfway between roots at 1 and 2)
values of the max..putx=1, x=2 into the original equation, and commpute y.
so what are the turning points