Let X ={a,b,c} and let P(X) be the collection of all subsets of X. (3.1) List all the elements in P(X). (3.2) Define f : P(X) → Z by f(A) = |A|, where A ∈ P(X) and |A| is the number of elements in A. (3.2.1) Draw a picture of the function f. (3.2.2) Is f one-to-one. Explain. (3.2.3) Is f onto? Explain

Let X ={a,b,c} and let P(X) be the collection of all subsets of X. (3.1) List all the elements in P(X). (3.2) Define f : P(X) → Z by f(A) = |A|, where A ∈ P(X) and |A| is the number of elements in A. (3.2.1) Draw a picture of the function f. (3.2.2) Is f one-to-one. Explain. (3.2.3) Is f onto? Explain

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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