c. State the ordered pairs of each local maximum, local minimum, and inflection point. Local Maximum(s): Local Minimum (s]: Inflection Point(s): d. Using the information from parts a-c, sketch a graph of the function. Label all local maximums, local minimums, and inflection points. .1. For the following problem (parts a-e] be sure to show aid your work as if you did not have a calculator. Consider the following function. f (x) = x5 - 5x+ +5 a. Find all the critical points ALGEBRAICALLY using the first and second derivative tests. Be sure to show the sign charts corresponding to the intervals created by the critical values. b. Find the largest intervals for which the function is increasing, decreasing, concave up and concave down. Increasing: Decreasing: Concave Up: Concave Down