4. (10 points) Adam is working on finding all of the local minimums and local maximums of the following function in Knewton Alta: 9 ( t ) = - 14 - 12+ 3 + 7 Adam enters in to Knewton Alta: There is a local minimum at r = 0 and a local maximum at x = 4. Knewton Alta told Adam that their answer was wrong. Give the correct solution for this function with supporting work. (6 points) Correct Solution: Local Maximum (If there is none, write NONE): Local Minimum (If there is none, write NONE): (4 points) Which of the following best explains where Adam could have gone wrong? Put your answer in the answer box below. A. Adam found the incorrect critical points. B. Adam did not correctly use the first derivative test to classify the critical points as local extrema. C. Adam computed the incorrect y-values for the critical points and therefore classified them in- correctly. D. Adam should have found the inflection points instead. Answer: Initials: Page 6