Question: Consider the function f : IR - IR, defined by the rule f(x) = x3 + 6x2 +92. Find all the critical points of f


Consider the function f : IR - IR, defined by the rule f(x) = x3 + 6x2 +92. Find all the critical points of f on the interval [-3, 0] and enter them in the box below in Maple syntax as a set of exact values. (For example, a typical answer could be {-6, 0, 1, 11/3}.) Complete the following sentence. The function f is guaranteed to have Click for List value on [-3, 0] because it is Click for List on the interval [-3, 0] which is Click for List and bounded. The maximum value of f on [-3, 0] is Number (Enter your answer as a whole number or an exact fraction.) The minimum value of f on [-3, 0] is Number (Enter your answer as a whole number or an exact fraction.) At which type of critical point or points does the maximum occur? (Tick all that apply.) An end point of [-3, 0] A stationary point of f on (-3, 0) a point in (-3, 0) where f is not differentiable At which type of critical point or points does the minimum occur? (Tick all that apply.) an end point of [-3, 0] a stationary point of f on (-3, 0) a point in (-3, 0) where f is not differentiable
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