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1. Which of the following functions map onto their indicated codomains? Prove each of your answers. (a) f :R → R, f(r) = }r+ 6 (b) g : N → N x N, g(n) = (n, n) (c) r: (1,0) → (1, ∞), r(x) = = (d) h : [2,3) → [0, ), h(x) = %3D 2. Which of the above functions are one-to-one? Prove each of your answers.

1. Which of the following functions map onto their indicated codomains? Prove each of your answers. (a) f :R → R, f(r) = }r+ 6 (b) g : N → N x N, g(n) = (n, n) (c) r: (1,0) → (1, ∞), r(x) = = (d) h : [2,3) → [0, ), h(x) = %3D 2. Which of the above functions are one-to-one? Prove each of your answers.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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1. Which of the following functions map onto their indicated codomains? Prove each of your answers. (a) f :R → R, f(r) = }r+6 (b) g : N → N × N, g(n) = (n, n) (c) r: (1, 0) → (1, x), r(x) = (d) h : [2,3) → [0, ), h(x) = 2. Which of the above functions are one-to-one? Prove each of your answers.
Transcribed Image Text:1. Which of the following functions map onto their indicated codomains? Prove each of your answers. (a) f :R → R, f(r) = }r+6 (b) g : N → N × N, g(n) = (n, n) (c) r: (1, 0) → (1, x), r(x) = (d) h : [2,3) → [0, ), h(x) = 2. Which of the above functions are one-to-one? Prove each of your answers.
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