Suppose f : N → N has the rule f(n) = 4n + 1. i) Determine whether f is 1-1. Justify your answer ii) Determine whether f is onto N. Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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 Suppose f : N → N has the rule f(n) = 4n + 1.

i) Determine whether f is 1-1. Justify your answer

ii) Determine whether f is onto N. Justify your answer.

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