i. Which of the following relations f: Q → Q define a mapping? In each case, supply a reason why f is or is not a mapping. p+1 3p a. f(p/q): = b. f(p/q) = = p-2 3q p+q Р c. f(p/q): d. f(p/q) = 32²2-22 q² 7q² =

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 10E: For each of the following parts, give an example of a mapping from E to E that satisfies the given...
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i. Which of the following relations f: Q → Q define a mapping? In each case, supply a reason
why f is or is not a mapping.
p+1
3p
a. f(p/q):
b. f(p/q)
p-2
3q
р
c. f(p/q):
p+q
q²
d. f(p/q) = 30/²2 - P
7q²
q
=
Transcribed Image Text:i. Which of the following relations f: Q → Q define a mapping? In each case, supply a reason why f is or is not a mapping. p+1 3p a. f(p/q): b. f(p/q) p-2 3q р c. f(p/q): p+q q² d. f(p/q) = 30/²2 - P 7q² q =
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