Let X be the graph of f(x) = given below tor

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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2b

Let X be the graph of f(x) = r2/3 given below
that is, X is the subset of R × R satisfying the given equation.
(b)
Declare that a subset A of X is basic if
A = Xn B((x, y))
for some open ball B.((r, y)) = {(a, b) ER x R| V(x – a)² + (y – b)² < e}.
%3D
-
Let A1 and A2 be basic subsets of X.
i. Is Aj U A2 a basic subset of X?
ii. Is A N A2 a basic subset of X?
Transcribed Image Text:Let X be the graph of f(x) = r2/3 given below that is, X is the subset of R × R satisfying the given equation. (b) Declare that a subset A of X is basic if A = Xn B((x, y)) for some open ball B.((r, y)) = {(a, b) ER x R| V(x – a)² + (y – b)² < e}. %3D - Let A1 and A2 be basic subsets of X. i. Is Aj U A2 a basic subset of X? ii. Is A N A2 a basic subset of X?
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