Let k: R R be the function defined by the formula k(x) =

Chapter 11, Problem 18E

(choose chapter or problem)

Problem 18E

Let k: R R be the function defined by the formula k(x) = (x − 1)/x for all real numbers x≠ 0.

a. Show that k is increasing for all real numbers x > 0.

b. Is k increasing or decreasing for x < 0? Prove your answer.

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