Please do 1-10 (please follow the directions and show easy to read and follow work) Thank You!

GRAPH ANALYSIS AND JUSTIFICATION You will be working on multiple skills/concepts. You need to justify everything (always). Do the problems in the order presented to practice switching between concepts. Use a graphing calculator to confirm your work. 1. Find and justify where all local extreme values of f (x) = 2x3 + 6x2 + 6x - 3 occur. 2. For g(x) = 2x# + 9x2 + 12x - 4, find and justify all local extreme values. (this is different than the instructions for the first problem). 3. Find and justify intervals where y = x4 - 4x is increasing and where it is decreasing. 4. For f(x) = x# + 4x find and justify where all extrema occur. 5. Find the extreme values of y = 5x4 - x5 on [-1,5] 6. h(x) = 4x6 + 6x4. Find and justify where h(x) is increasing. 7. Where are the local minima of f(x) = 3x5 - 20x3? Justify. 8. Find intervals where y = 3x5 + 5x3is decreasing. Justify. 9. For f(x) = x2e*, find and justify all local extreme values. 10. Find and justify all local extreme values for y = x3ex