Question : Determine whether each of these functions from Z to Z is one-to-one, Where Z is a set of Integers. f (n) = n³ Question : Determine whether f : Z × Z → Z is onto if, Where Z is a set of Integers f (m, n) = 2m − n. Question : Determine whether each of these functions is a bijection from R to R, Where R is a Real number set. f(x)=x5+1 Question 5: Give rough sketch (Graph) of the linear function { (x,y) I 3x+y = 2 }

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 24E: For any relation on the nonempty set, the inverse of is the relation defined by if and only if ....
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Question : Determine whether each of these functions from Z to Z is one-to-one, Where Z is a set of Integers.
f (n) = n³
Question : Determine whether f : Z × Z → Z is onto if, Where Z is a set of Integers
f (m, n) = 2m − n.
Question : Determine whether each of these functions is a bijection from R to R, Where R is a Real number set.
f(x)=x5+1
Question 5: Give rough sketch (Graph) of the linear function
{ (x,y) I 3x+y = 2 }

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