The purpose of this question is to do the preliminary work to make a well-labeled sketch of the graph of the function 6x2 + 6x + 6 f(x) = x2 + x – 2 First, find the critical values (there should be three): Two of the critical values should be associated with asymptotes of this function. The remaining critical value should be a local maximum. What is the local maximum for this graph: y = In addition to the vertical asymptotes, there is another asymptote. Give the equation for this asymptote: Hint: What is lim f(x)? Finally, give the range for the function f. range =

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A: