Question: Consider the real-valued function f(x)=ax3, with a constant.(a) Establish the domain for f.(b) Identify any critical points.(c) Identify intervals of increase and intervals of decrease.(d)

Consider the real-valued function f(x)=ax3, with a constant.(a) Establish the domain for f.(b) Identify any critical points.(c) Identify intervals of increase and intervals of decrease.(d) Find intervals where the graph is concave up or concave down and identify any inflection points.(e) Establish the location of any local extrema (First and Second Derivative Test).

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