In Problems 4164, graph each function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with

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In Problems 41–64, graph each function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function (for example, y = x2) and show all the steps. Be sure to show at least three key points. Find the domain and the range of each function.

f (x) = (x − 1)3 + 2

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