Safari File Edit View History Bookmarks Window Help $ 75% . Thu Feb 24 9:47 AM QE . . . [ v webassign.net C Homework Help - Q&A from Online Tutors - Course Hero Applications of Derivatives - MA 131, section 001, Spring 2022 | WebAssign + In this question, you will sketch the graph of the cubic function below. f (x) = 2x' + 33x-+ 108x The derivative of this function can be shown to equal f' (x) = 6x2 +66x + 108 This derivative can be factored as follows: f (x) = 6(x+9) (x+2) The second derivative of the function is given by f" (x) = 12x+66 (a) At what two values of x does the derivative of f(x) equal zero? (Enter the smaller solution in the first box and the larger solution in the second box.) Smaller solution : Larger solution : (b) Which of the following descriptions apply to the function f(x)? (Check all that apply.) O f(x) is decreasing on (-co,-9) O f(x) is decreasing on (-9,-2) O f(x) is increasing on (-9,-2) O f(x) is decreasing on (-2,co) O f(x) is increasing on (-oo,-9) O f(x) is increasing on (-2,co) (c) At what value of x does the second derivative of f(x) equal zero? x : (d) Which of the following descriptions apply to the function f(x)? (Check all that apply.) O f(x) is concave upwards on (-co,-5.5) O f(x) is concave downwards on (-co,-5.5) O f(x) is concave upwards on (-5.5,co) O f(x) is concave downwards on (-5.5,co) FEB 24 WSafari File Edit View History Bookmarks Window Help $ 75% . Thu Feb 24 9:47 AM QE . . . webassign.net C Homework Help - Q&A from Online Tutors - Course Hero Applications of Derivatives - MA 131, section 001, Spring 2022 | WebAssign (e) What are the co-ordinates of the relative maximum point? (f) What are the co-ordinates of the relative minimum point? (g) What are the co-ordinates of the inflection point? (h) What is the y intercept of the function? y intercept : (i) Find the x intercepts of the function. (Enter these numbers in order, from the smallest to the largest.) Smallest x intercept : Middle x intercept : Largest x intercept : Submit Assignment Save Assignment Progress Home My Assignments FEB 24 . ... NO W