PLEASE ONLY ANSWER QUESTIONS 1, D. AND #2. Please answer in full.

Part C 1. Use calculus and algebraic methods to do a complete analysis (i.e., intercepts, critical points, intervals of increase and decrease, points of inflection, intervals of concavity, local maximum or minimum points) for each of the following functions and then sketch the graph of the function. You can use graphing software (Geometer's Sketchpad or Winplot) to verify your analysis and graph. Keep in mind that your analysis is the most important aspect of this question, not the graph. a. f ( x ) = -x2 + 4x - 3 b. g(x) = x3 - 6x2 + 9x c. h (x) = x4 - 6x2 d. p(x) = x4 - 4x3 2. In this question, you should determine the asymptotes and then continue with rest of the analysis. q(x ) = = -2 (x + 3 )