Recall, a rule assigning elements of a set A to a set B is said to be well-defined if the assignment of elements in A to those of B is unique. Furthermore, such a rule is said to be a function when it is well-defined. Consider the rule f:Q → Z m where f = m -n for any q = E Q. Explain why this rule is not a function.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.1: Functions
Problem 5E: A Function f is a rule that assigns to each element x in a set A exactly ________ element(s) called...
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Recall, a rule assigning elements of a set A to a set B is said to be well-defined if the assignment of elements
in A to those of B is unique. Furthermore, such a rule is said to be a function when it is well-defined. Consider
the rule
f:Q → Z
m
where f ()
= m – n for any q =- €Q. Explain why this rule is not a function.
Transcribed Image Text:Recall, a rule assigning elements of a set A to a set B is said to be well-defined if the assignment of elements in A to those of B is unique. Furthermore, such a rule is said to be a function when it is well-defined. Consider the rule f:Q → Z m where f () = m – n for any q =- €Q. Explain why this rule is not a function.
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