Let X = {1, 2, 3}, Y = {1, 2, 3, 4}, and Z = {1, 2}. a. Define a function f : X Y that
Chapter 7, Problem 9(choose chapter or problem)
Let X = {1, 2, 3}, Y = {1, 2, 3, 4}, and Z = {1, 2}.
a. Define a function f : \(X \rightarrow Y\) that is one-to-one but not onto.
b. Define a function g: \(X \rightarrow Y\) that is onto but not one-to-one.
c. Define a function h: \(X \rightarrow X\) that is neither one-to-one nor onto.
d. Define a function k: \(X \rightarrow X\) that is one-to-one and onto but is not the identity function on X.
Text Transcription:
X rightarrow Y
X rightarrow Y
X rightarrow X
X rightarrow X
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