4 True or False. Explain briefly (you can use diagram to show, or one or two short sentences). (a) For a function f: X Y, where both domain X and codomain Y are finite sets, if f is an one-to-one function, then X|< Y . For a function f: X- Y, where both domain X and codomain Y are finite sets, if f is an surjective function function, then |X| |Y.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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4 True or False. Explain briefly (you can use diagram to show, or one or two short
sentences). (a) For a function f: X
Y, where both domain X and codomain Y are finite
sets, if f is an one-to-one function, then X|< Y .
For a function f: X- Y, where both domain X and codomain Y are finite sets, if f is
an surjective function function, then |X|
|Y.
Transcribed Image Text:4 True or False. Explain briefly (you can use diagram to show, or one or two short sentences). (a) For a function f: X Y, where both domain X and codomain Y are finite sets, if f is an one-to-one function, then X|< Y . For a function f: X- Y, where both domain X and codomain Y are finite sets, if f is an surjective function function, then |X| |Y.
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