Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of liters) is given by the function C(x) = x8 4x2 + 6x + 40, where x> O. a) Where is C(x) decreasing? b) Where is C(x) increasing? a) Select the correct choice below and ll in any answer boxes within your choice. '33:? A- The function is decreasing on the open interval(s) (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) {:2- B. The function is never decreasing. b) Select the correct choice below and fill in any answer boxes within your choice. '3' A- The function is increasing on the open interval(s) (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) {:1- B. The function is never increasing. Find the open intervals where the function is concave upward or concave downward. Find any inection points. Select the correct choice below and, if necessary, ll in the answer box(es) to complete your choice. "fir C. _. D. A- The function is concave upward on the interval(s) and concave downward on the interval(s) (Type your answers in interval notation. Use a comma to separate answers as needed.) - The function is concave upward on the interval(s) . The function is never concave downward. (Type your answer in interval notation. Use a comma to separate answers as needed.) The function is concave downward on the interval(s) . The function is never concave upward. (Type your answer in interval notation. Use a comma to separate answers as needed.) The function is never concave upward or downward. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. '11? A- The function has an inection point at (Type an ordered pair. Use a comma to separate answers as needed.) The function does not have an inection point. 1+x 6-x Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x) = on the domain [- 6,0]. Select the correct choice below and, if necessary, ll in the answer boxes to complete your choice. A- The absolute maximum is , which occurs at X: (Round the absolute maximum to two decimal places as needed. Type an exact answer for the value ofx where the maximum occurs. Use a comma to separate answers as needed.) {ji- B. There is no absolute maximum. Select the correct choice below and, if necessary, ll in the answer boxes to complete your choice. '1.) A- The absolute minimum is , which occurs at x = (Round the absolute minimum to two decimal places as needed. Type an exact answer for the value of x where the minimum occurs. Use a comma to separate answers as needed.) {:2- B. There is no absolute minimum