Question: Consider the function f(x) = 4(x-3)^(2/3). For this function there are two important intervals: (-oo, A) and (A, oo) where A is a critical number.

Consider the function f(x) = 4(x-3)^(2/3).

For this function there are two important intervals: (-oo, A) and (A, oo) where A is a critical number.

A is ________

For each of the following intervals, tell whether f'(x) is positive or negative.

(-oo, A): ____________

(A, oo): _____________

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