A function f(x) has a critical number x=c. Which of the following statements is always true about the function P(x)=f(x)±k, where k is a constant? a. P(x) has a relative minimum at x=c. b. P(x) has more critical numbers than f(x). c. P(x) has the same critical numbers as f(x). d. P(x) has the same extrema as f(x).

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