MCV4U Extreme Values and Concavity in class assignment You can use your notes to complete the following questions. Save your work as one document in PDF format and submit electronically. 1. Consider the graph f(x) = 2x3+ 12x2+ 18x 7 a) Find first and second derivative of f(x). /2k b) Find intervals of concavity and indicate points of inflection, if applicable. Justify your answers. /3k 2c 2. Consider the function y = xi 4x2+ 12x. Find absolute min and max value of the function on the interval [-1, 3]. Show all work. /4k 1 c 3. Consider the function y = x - 3V2x + 1 a) Find 2: Write your answer in a fraction form. /2k b) Find critical values and then critical points. /4k c} Find intervals of increase and decrease. Find local minimum/local maximum. Justify your answers. /3k 2c 4. The graph below represents the second derivative function f"(x). /5c The x intercepts of f"(x) are -3, 0, and 3. Answer the following questions based on the graph of f"(x). f(x) is concave up for x because f(x) is concave down for x because f"(x) = 0 forx = Indicate at which of the points above, x) has a point/points of inflection. Justify your