3.. Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = 3 and x = 3, the average rate of change is 0. Karly says that for the function, between x = 3 and x = 3, the graph goes up through a turning point, and then back down. Explain how Tucker and Karly can both be correct, using complete sentences.

4.. You are having a conference call with the CEO of a paper company. You have interpreted the number of trees cut down versus profit as the function P(x) = x⁴+ x³+ 7x² x 6. Describe to the CEO what the graph looks like and, in general, how to sketch the graph without using technology. Use complete sentences, and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0).