For the function shown in the graph, list the intervals on which the function is increasing, the intervals on which it is decreasing, List the open interval(s) on which the function is increasing. Select the correct choice below and, if necessary, fill in the K and the location of all local extrema. answer box to complete your choice. Ay O A. The function is increasing on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed. O B. The function is never increasing. List the open interval(s) on which the function is decreasing. Select the correct choice below and, if necessary, fill in the + 10 answer box to complete your choice. O A. The function is decreasing on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function is never decreasing. Identify any local extrema. Select the correct answer below and, if necessary, fill in any answer box(es) within your choice. O A. There is no local maximum, and the local minimum/minima occur(s) at x = (Use a comma to separate answers as needed.) O B. There is no local minimum, and the local maximum/maxima occur(s) at x =. Use a comma to separate answers as needed. O C. There is/are local maximum/maxima at x = , and there is/are local minimum/minima at x =. (Use a comma to separate answers as needed.) O D. The function has no local extremaK Find all critical numbers of the function f(x) = x" - 450x". Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The critical number(s) is/are at x = . There is no local maximum and no local minimum. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. The critical number(s) is/are at x = . There is a local maximum at x = . There is no local minimum. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O C. The critical number(s) is/are at x = . There is no local maximum. There is a local minimum at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O D. The critical number(s) is/are at x = . There is a local maximum at x = . There is a local minimum at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O E. There are no critical numbers.Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection. K f(x) = - 3x + 4x - 6. . . . Select the correct choice below and fill in the answer box(es) to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) O A. The function is concave upward on and concave downward on O B. The function is concave downward on The function never has an interval that is concave upward. O C. The function is concave upward on The function never has an interval that is concave downward. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) of inflection is/are at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There is no point of inflection.st K Find at the given point. dx 6X2y3 =8-x2 - By at (0, 1) The value of dy at (0,1) is dx (Type an exact answer.)