Let f : X → Y be a function and A, B C X be subsets of the domain. (a) Is f(AUB) = f(A)Uƒ(B)? Always, sometimes, or never? Explain. (b) Is f(AnB) = f(A)nf(B)? Always, sometimes, or never? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 19E
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Let f : X → Y be a function and A, B C X be subsets of the domain.
(a) Is f(AUB) = f(A)Uf(B)? Always, sometimes, or never? Explain.
(b) Is f(AnB) = f(A)nf(B)? Always, sometimes, or never? Explain.
Transcribed Image Text:Let f : X → Y be a function and A, B C X be subsets of the domain. (a) Is f(AUB) = f(A)Uf(B)? Always, sometimes, or never? Explain. (b) Is f(AnB) = f(A)nf(B)? Always, sometimes, or never? Explain.
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