Sketch the graph of the function f: R - {2} R, 1 f(x) = x?...

 

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Sketch the graph of the function f: R - {2} → R, 1 f(x) = x? (x – 2)2 Make sure to indicate (with justifications) the essential features of the graph: a) zeroes of f, sign of f between zeroes, b) critical points of f, sign of derivative f' between critical points, c) value of f at the critical points, d) behaviour near infinity, or near points where is undefined. Sketch the graph of the function f: R - {2} → R, 1 f(x) = x? (x – 2)2 Make sure to indicate (with justifications) the essential features of the graph: a) zeroes of f, sign of f between zeroes, b) critical points of f, sign of derivative f' between critical points, c) value of f at the critical points, d) behaviour near infinity, or near points where is undefined.