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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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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.
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