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
Related questions
Question
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f330ada-6acd-4e0b-bf45-80a7b4e697fa%2F05202258-a3c7-4b24-81e5-34eaf73e7099%2Ftmddhzs_processed.jpeg&w=3840&q=75)
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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