Let X ={a,b,c} and let P(X) be the collection of all subsets of X. List all the elements in P(X). Define f : P(X) → Z by f(A) = |A|, where A ∈ P(X) and |A| is the number of elements in A. Draw a picture of the function f. Is f one-to-one. Why. Is it onto? Why?

Let X ={a,b,c} and let P(X) be the collection of all subsets of X. List all the elements in P(X). Define f : P(X) → Z by f(A) = |A|, where A ∈ P(X) and |A| is the number of elements in A. Draw a picture of the function f. Is f one-to-one. Why. Is it onto? Why?

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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