Please show work and answer all, thank you

Question 1 (Mandatory) (18 points) Refer to Section 1 in the course notes The function y=g(x), defined on the interval a 5x gfis shown. Fill in the blanks based on the graph. All answers should be chosen from the letters a, b. c, d, e. r, s, r, u, v or the number 0. (some choices may be used more than once, and some not at all) The function is decreasing on the interval C] 6/ or =, depending on whether the quantity is positive, negative or zero. C] f '(S) f '(T) C] Question 3 (Mandatory) (6 points) Refer to Sections 4 in the course notes A function y=f(x) satisfies the following: f(r)=3, f '(r)=0, f \"(r) = -4. At x=r the function y=f(x) must have: O None of the above 0 An absolute maximum 0 An absolute minimum 0 A relative minimum 0 A relative maximum O An inflection point Question 4 (Mandatory) (12 points) Refer to Sections 2, 3, 4 in the course notes. You will need to compute y' and y" and evaluate each at x = -1 Consider the function y=5x4 - 7x2 + 3x - 2. At X = 11 V is (Enter T for True and F for False) Increasing [:~ Decreasing [:~ Concave Up [:19 Concave Down :W A Relative Maximum :1 An Inflection Point [:~ Question 5 (Mandatory) (10 points) Refer to section 3, especially example 8 in the course notes The function y=2x3 - 6x2 - 48x + 1 has one relative maximum and one relative minimum. Find them. (JUST THE x-VALUES!) The relative maximum is at x= -~ The relative minimum is at x= [:19 Question 6 (Mandatory) (8 points) Refer to Section 4 in the course notes The graph of y=f(x) is shown below (top graph). Which of the graphs, A (red), B (blue), C (purple), D (green) is the derivative, y=f '(x) and why? You must explain your answer (1-2 sentences), and will only get half credit if you choose the correct graph without explanation. Type your answers Question 7 (Mandatory) (30 points) Answer both questions 1 and 2. Handwrite your answers, convert to pdf and upload. If I cannot open your graph, you will not get credit for it. 1) Refer to Section 4 in the course notes. In this question, you will need to draw 2 graphs. Graphs must be neatly handwritten. Make sure to label all the important points. GRAPH A: Sketch the graph of a function, y = f(x) defined on the interval 0 0 if -3 0 if 1