Give the x-values representing locations wheremay have

Question

A continuous and differentiable polynomial function/is defined as follows:

y= f(x) = 2x³ + ax² +bx + c

a. Give the x-values representing locations where/may have relative extrema points.

b. Set up an equation whose solution is the x-value guaranteed by the Mean Value Theorem on the interval [-1, 1].

c. What conclusions, if any, can you draw about the concavity of f if you know that a > 0?