Please answer all questions and show work for all questions. All questions are in the photos and please make sure to follow the directions, provide step by step explanations for each problem, circle/box the answers, and write neatly as possible. Thank you!

Show all your work, unsupported answers will receive no credit. Use correct mathematical notation at a_l] times: points will be deducted for incorrect notation. Write your answers to applied problems in complete sentence form with appropriate units. Box your answers. 1. Find the absolute maximum and absolute minimum of the function f(x) = x + 4; en the following intervals. a) [1, 4] 13) [.4_.1] 2. Find the absolute maximum and absolute minimum ofthe function g(x) = (in x)2 3 in x on the following intervals. a) [2,10] b) [1, 4] 3. Sketch the graph of the function f (x) = 2- b 4x+3 by doing the following. Use another sheet of paper to show all your work (you won't be able to fit it all here). a) Find the domain of f. b) Find the intercepts. c) Use limits to find the asymptotes (if any). d) Build a sign chart for f to determine where the function is increasing and decreasing. e) Find the coordinates of all local maximums and local minimums. f) Build a sign chart for f" to determine where the function is concave up and concave down. g) Find the coordinates of all points of inflection. h) Include the above information in your graph. Be sure to label all local extrema and points of inflection. Use dashed lines to indicate any asymptotes. 10 -10 0 10 10