100. Give an example of a function whose domain is the set ofreal numbers and that is neither increasing nor decreasingon its domain, but is one-to-one.[Hint: Use a piecewise-defined function.]

Consider the example fx=0x=0xx∈Q-xx∈Qc Thus the domain of the function is the whole real number.

Answered: 100. Give an example of a function…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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100. Give an example of a function whose domain is the set of real numbers and that is neither increasing nor decreasing on its domain, but is one-to-one. [Hint: Use a piecewise-defined function.]