Name: MATH1061 017/023 Quiz 9 This is a take-home quiz due in class on Wednesday October 27. You may use your notes and text book but you are not allowed to discuss the quiz with classmates, friends, or tutors, and you are not allowed to consult any graphing technology. Let f(x) = (x - 4) 8x. 1. Identify the domain and intercepts of f(x). Show your work. 2. Identify any even/odd symmetry, vertical asymptotes, and horizontal asymptotes of f (x). Show your work. 3. Identify the intervals over which f (x) is increasing and decreasing, along with the x-values of any local extrema. Show your work. Display your answer in a sign chart (number line with +/-). More on the back4. Identify the intervals over which f(x) is concave up and concave down, along with the x-values of any inflection points. Show your work. Display your answer in a sign chart (number line with +/-). 5. Combine your findings to sketch the graph of f(x). Your graph should not be perfect, but it should reflect all of the features from Problems 1-4. Bonus (+2): Find dy: xy tan(y) = 2xy 3. Identify the intervals over which Itis my