Let f:X→Y be a function where X= { 2, ,3, 4, 5, 6, 7} and Y ={ 0, 1, 2,3, 4} defined as f() =2x(mod 5) a. Write fas a set of ordered pairs b. Is f one-one function? c. Is f onto function?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...
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C2. Let f:X→Y be a function where X= { 2, ,3, 4, 5, 6, 7} and Y ={ 0, 1, 2,3, 4} defined as
f) =2x(mod5)
a. Write fas a set of ordered pairs
b. Is f one-one function?
c. Is f onto function?
d. Is fexists? Justify your answer.
[ Hint: a(mod b) is the remainder when a is divided by b]
Solution:
Transcribed Image Text:C2. Let f:X→Y be a function where X= { 2, ,3, 4, 5, 6, 7} and Y ={ 0, 1, 2,3, 4} defined as f) =2x(mod5) a. Write fas a set of ordered pairs b. Is f one-one function? c. Is f onto function? d. Is fexists? Justify your answer. [ Hint: a(mod b) is the remainder when a is divided by b] Solution:
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