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2. Consider the function 3x2 - 12x f(x) = x3 - 2x2 - 8x a) For what values of x is this function undefined? You

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2. Consider the function 3x2 - 12x f(x) = x3 - 2x2 - 8x a) For what values of x is this function undefined? You must show all work. b) For what value(s) of x does the graph of this function have a hole? Explain how you determined this c) Find the vertical asymptote(s) and describe the left- and right-hand limits as the graph approaches the asymptote(s).2. (continued from last page) 3%2 12x x3 2x2 8x f0?) = (1) Find the horizontal asymptote(s) using a limit. Show all supporting work. 6) Sketch a well-labeled graph of this function. Clearly mark all asymptotes and holes in the graph

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