Let d: R? × R² → R, defined as d (æ, y) = |æ1| where a = ("1, #2), y = (y1, 42) , then d is metric and semi metric not metric and not semi metric metric but not semi metric semi metric but not metric

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 3CR
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Let f : (X,d) (Y, d1) be continuous fumction, then for any open set
G in X, we have f (G) is open in Y
True
False
Transcribed Image Text:Let f : (X,d) (Y, d1) be continuous fumction, then for any open set G in X, we have f (G) is open in Y True False
Let d : R? x R² →R, defined as d (x, y) = |æ|
where x =
(x1, a2), y = (yı, Y2) , then d is
metric and semi metric
not metric and not semi metric
metric but not semi metric
semi metric but not metric
Transcribed Image Text:Let d : R? x R² →R, defined as d (x, y) = |æ| where x = (x1, a2), y = (yı, Y2) , then d is metric and semi metric not metric and not semi metric metric but not semi metric semi metric but not metric
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