1. Let f (0, ∞) →R be the function with f(x) = |1 - ln x]. Sketch the graph of y = f(x). Give a brief justification (one sentence each) why f is not injective and why f is not surjective. Come up with a subset A of R of your choice such that the function g: A → R with g(x) = 1 In x is injective. No justification needed. Come up with a subset B of R of your choice such that the function h: (0, ∞) →B with h(x) = |1 - ln x is surjective. No justification needed.

1. Let f (0, ∞) →R be the function with f(x) = |1 - ln x]. Sketch the graph of y = f(x). Give a brief justification (one sentence each) why f is not injective and why f is not surjective. Come up with a subset A of R of your choice such that the function g: A → R with g(x) = 1 In x is injective. No justification needed. Come up with a subset B of R of your choice such that the function h: (0, ∞) →B with h(x) = |1 - ln x is surjective. No justification needed.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 1CR

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