Consider the function below. f(a:) = 33:4 12a:3 + 6 Answer the questions below Part 1: Enter your answers as a list. If \"(He set is empty, type DNE. For what numbers does f have a critical number?D Part 2: I Part 3: ' Let f(a) = -24 - 623 + 9x + 3. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of x values or the word "none".Let f(x) = x2 + 3x - 10. Find the open intervals on which f is concave up (down). Then determine the x- coordinates of all inflection points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of x values or the word "none".GO... Tai... Problem List Next Problem 2 -3 -2 3 (-1.67, -1.76) -0:5 3- return this question to its initial state Consider the applet above. . The grapgh of y = f(x) is in blue. Move the point along the graph to compute the slope of the graph. List all the points-of-inflection.Consider the function below. f(2) = 23 - 21x2+147x - 335 Answer the questions below Part 1: Enter your answers in interval notation. If the set is empty, type DNE. On what interval is the function f concave-up? On what interval is the function f concave-down? Part 2:return this question to its initial state Consider the applet above. The graph 3/ = f(x) is shown in blue in the top window and is differentiable for all real numbers. Move the point along the graph to sketch y = f'(:1:) (red) in the bottom window. On what intervals is f increasing? C] On what intervals if f decreasing? C]