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?
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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 55E
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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:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F736b422b-77f4-4580-83ac-50a40a39a65e%2F8beb1bef-a0c5-451f-9414-dd1442b99468%2F7l925v_processed.png&w=3840&q=75)
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]
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