2. (10 points) For the given function answer the following questions: (Note: do not differentiate this function.) f(x) = x³+4x² - 21x (a) Find the cut points of f(x): (b) Give the sign chart of f(x): (c) Give the interval(s) where the function f(x) is positive: (d) Give the interval(s) where the function f(x) is negative: (e) Give the x-value(s) where the function f(x) is zero: (f) Solve for f(x) ≥ 0 in terms of x:

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A: Here I am attaching image so that you understand each and every step.

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