1 . Try again Practice similar Next > You have answered 2 out of 4 parts correctly. Use a graph below of f(x) = 3e-82 to estimate the x-values of any critical points and inflection points of f(a). critical points (enter as a comma-separated list): x =( inflection points (enter as a comma-separated list): x = 2 Next, use derivatives to find the x-values of any critical points and inflection points exactly. critical points (enter as a comma-separated list): x = 0 inflection points (enter as a comma-separated list): x = 2IN Practice similar For the function f(x) = -8x + 7 sin(x), find all intervals where the function is increasing. f is increasing on (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5), (7,10) . Enter none if there are no such intervals.) Similarly, find all intervals where the function is decreasing: f is decreasing on (Give your answer as an interval or a list of intervals, eg., (-infinity,8] or (1,5), (7,10) . Enter none if there are no such intervals.) Finally, find all critical points in the graph of f(x) (enter a values as a comma-separated list, or none if there are no critical points):W Practice similar y = f (x) The graphs above are approximate graphs of f and f' for f(ac) = 22(2 - 15). So f is decreasing (and f' is negative) on the interval (0, a) for a = . (Give the largest a that works.)Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. Refer to the graph to answer each of the following questions. For parts (A) and (B), use interval notation to report your answer. (If needed, you use U for the union symbol.) (A) For what values of a in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None .) Answer: (B) For what values of a in (0,8) is f(x) concave down? (If the function is not concave down anywhere, enter None .) Answer: (C) Find all values of a in (0,8) is where f(x) has a local minimum, and list them (separated by commas) in the box below. (If there are no local minima, enter None .) Local Minima: (D) Find all values of a in (0,8) is where f(a) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter None .) Inflection Points: /quick/2023/07-21//gif/26a6cbe0-71b6-3489-aa68-60cbbfa2f2a0_ 4eb083db-3647-3312-a31c-6badlec8d683.png5. Practice similar The function f(x) = 4x3 + 24x2 - 60x +4 is decreasing on the interval Enter your answer using the interval notation for open intervals. It is increasing on the interval(s) The function has a local maximum atPractice similar The function f(x) = 4x3 + 24x2 - 60x +4 is decreasing on the interval Enter your answer using the interval notation for open intervals. It is increasing on the interval(s) The function has a local maximum atITEMS INFO Practice similar