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For the following directed graph, let E = {I,J,K, L, M} and let V = {a, b, c, d}. a J M b K For each definition of f below, determine if f is a function. If it is a function, state its domain and codomain in the form "f:X → Y" and give a table of values that lists each element x of the domain along with the corresponding element f(x) of the codomain. If the given f is not a function, explain why not.

For the following directed graph, let E = {I,J,K, L, M} and let V = {a, b, c, d}. a J M b K For each definition of f below, determine if f is a function. If it is a function, state its domain and codomain in the form "f:X → Y" and give a table of values that lists each element x of the domain along with the corresponding element f(x) of the codomain. If the given f is not a function, explain why not.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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*Discrete math

Please answer part d of this question.Thank you!

For the following directed graph, let E = {I,J,K, L, M} and let V = {a, b, c, d}. a J M b K For each definition of f below, determine if f is a function. If it is a function, state its domain and codomain in the form "f:X→Y" and give a table of values that lists each element x of the domain along with the corresponding element f(x) of the codomain. If the given f is not a function, explain why not.
Transcribed Image Text:For the following directed graph, let E = {I,J,K, L, M} and let V = {a, b, c, d}. a J M b K For each definition of f below, determine if f is a function. If it is a function, state its domain and codomain in the form "f:X→Y" and give a table of values that lists each element x of the domain along with the corresponding element f(x) of the codomain. If the given f is not a function, explain why not.
d. If x is a natural number, then f (x) is the vertex whose outdegree is x.
Transcribed Image Text:d. If x is a natural number, then f (x) is the vertex whose outdegree is x.
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