prompt help

Suppose that f(x) = 410 - 6x5. (A) Find all critical numbers of f. If there are no critical numbers, enter 'NONE'. Critical numbers = (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for co, '-INF' for -oo, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) Find the r-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. I values of local maxima = (E) Find the r-coordinates of all local minima of f. Note: If there are no local minima, enter 'NONE'. x values of local minima = (F) Use interval notation to indicate where f() is concave up. Concave up: (G) Use interval notation to indicate where f(r) is concave down. Concave down: (H) List the a values of all inflection points of f. If there are no inflection points, enter 'NONE'. I values of inflection points = (1) Find all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'. Horizontal asymptotes y = (J) Find all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'. Vertical asymptotes = = (K) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below. Graph Complete: IMPORTANT NOTE: For part (f) of this problem, you will need to place a union symbol "U" (found in the math palette) between the two intervals. So, instead of separating those with a comma, separate with a union symbol.Let f be the function with domain [1, 3], defined by f(x) = -x2 + 3x. The function f has a global maximum at a = The function f has a global minimum at a = Note: Global maximum is the same as absolute maximum. To find abs. max/min, start by finding the critical points and evaluate the function at the critical points as well as the end points of the closed interval. The largest f(x) value is absolute maximum, and the lowest f(x) value is the abs. minimum. Use only the critical points that lie in the given interval, and discard the other ones.Consider the function f(x) = 24 - 98x2 +3, -6x 15. This function has an absolute minimum value equal to and an absolute maximum value equal to If the question asks for the absolute minimum, or the absolute maximum, provide the corresponding y value. IMPORTANT NOTE: Since this question is asking for the value of the abs max/min, you will need to place just the 'y' values for the absolute max and min.Consider the function f(x) = 2x2 - 8x +5, 0