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18. Determine which of the following functions are one-to-one and which are onto. If the function is not onto, determine its range. (a) f: RR defined by f(x) = e (b) f: Z → Z defined by f(n) = n² +3 (c) f: R→ R defined by f(x) = sin x (d) f: Z → Z defined by f(x) = x²

18. Determine which of the following functions are one-to-one and which are onto. If the function is not onto, determine its range. (a) f: RR defined by f(x) = e (b) f: Z → Z defined by f(n) = n² +3 (c) f: R→ R defined by f(x) = sin x (d) f: Z → Z defined by f(x) = x²

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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18. Determine which of the following functions are one-to-one and which are onto. If the function is not onto, determine its range. (a) f: R→ R defined by f(x) = e (b) f: Z → Z defined by f(n) = n² +3 (c) f: R→ R defined by f(x) = sin x (d) f: Z → Z defined by f(x) = x²
Transcribed Image Text:18. Determine which of the following functions are one-to-one and which are onto. If the function is not onto, determine its range. (a) f: R→ R defined by f(x) = e (b) f: Z → Z defined by f(n) = n² +3 (c) f: R→ R defined by f(x) = sin x (d) f: Z → Z defined by f(x) = x²
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