Consider the following: Find all relative extrema and classify each as a maximum. Use the Second- Derivative Test where ever possible 1. F(x)=5-X12 2. F(x)=x 3-12x-1 Sketch the graph of each function. List the coordinates of where extrema or inflection points occur. State where the function is increasing or decreasing as well as where it is concave up or concave down. 1. F(x)=2x 3-3x^2-36x+28 2. F(x)=-2(x-4) (2/3) +5 3. F(x) 8x/(x 2+1) Find the absolute maximum and minimum values of each function over the indicated interval, and indicate the x-values at which they occur. 1. F(x) = x^3-x 2-x+2, [-1,2] 2. F(x) (x+1) (1/3), [-2,26] 3. F(x)=x 3-3x+2, [-3,-3/2]