1. X Consider f(x) x-9 Sketch a graph by completing the following steps. (a) Locate any asymptotes (if any) and determine the end behavior. (b) Find where f is increasing/decreasing and any local extreme values. (c) Find where f is concave up/concave down and any inflection points. (d) Sketch a graph and label the relevant points. 2. The sum of two numbers is 8. Find the numbers if the sum of their cubes is to be minimal. The work must include identifying variables, labeled diagram when appropriate, complete computational work, AND use of a derivative test to verify. Without correct application of a derivative test, no more than 50% credit for question. 3. A production editor decided that a promotional flyer should have a 1-in margin at the top and the bottom and a 12-in margin on each side. The editor further stipulated that the flyer should have an area of 72 in. Determine the dimensions of the flyer that will result in the maximum printed area (shaded area) on the flyer. Your work must include the following: identify variables both on graph and in words; any equations or formulas; all mathematical work; and correct application of a derivative test. Without correct application of a derivative test, no more than 50% credit for question. P in 1in (Description: Shaded rectangle within a rectangle. Distance between shaded rectangle and outer rectangle is 1/2 in on vertical sides. Distance between shaded rectangle and outer rectangle is 1 in on horizontal sides.)