Let f(x) (x 1)2 4. (a) Sketch the graph of the function f

Chapter 4, Problem 44

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Let f(x) (x 1)2 4. (a) Sketch the graph of the function f and note that the minimum value occurs when x is 1. (b) Although the minimum value of the function f occurs when x 1, the minimum value of the function y does not occur when x 1. Explain why this does not contradict the statement in the caption to Figure 6 on page 276. (c) Find the value(s) of x that minimize the function y Hint: What is the domain of y ? 45. A

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