Questions on following calc problems please

1. State where the function has an absolute max or min, and local max or min(s): a) absolute min: b) absolute max:_ c) local min(s): d) local max(s): 2. Find the absolute extrema (max and mins) of the function on the given interval: f(x) = 2x3 - 3x2 - 12x + 1, [-2, 3] 3. Find the limit using Theorem 4 from section 3.4 or show that it doesn't exist: (show ALL work!) x4-3x2+x a) lim b) lim V4x2+1 x-+00 x3-x+2 X--00 3x-1 4. For the function y = (*-1)2 x2+1 find the following and sketch a graph of the curve: a) Domain b) Intervals of increase and decrease and critical values c) Local max and min values d) Intervals of concavity and inflection points e) Use the info to sketch a graph. Check with calc. SHOW ALL WORK