Discuss the continuity of the functions f and g. (x, y) = (0, 0) (x, y) = (0, 0) (x, y) = (0, 0) (x, y) = (0, 0) O f is continuous everywhere except at (0, 0) and g is continuous everywhere. Of is continuous everywhere except at (0, 0) and g is continuous everywhere except at (0, 0). Of is continuous everywhere and g is continuous everywhere. O f is continuous everywhere and g is continuous everywhere except at (0, 0). f(x, y) = g(x, y) = x² 6,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 42E
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Discuss the continuity of the functions f and g.
(x, y) = (0, 0)
(x, y) = (0, 0)
f(x, y) = =
g(x, y) = x² +
6,
(x, y) = (0, 0)
#
(x, y) = (0, 0)
O f is continuous everywhere except at (0, 0) and g is continuous everywhere.
O f is continuous everywhere except at (0, 0) and g is continuous everywhere except at (0, 0).
O f is continuous everywhere and g is continuous everywhere.
Of is continuous everywhere and g is continuous everywhere except at (0, 0).
Transcribed Image Text:Discuss the continuity of the functions f and g. (x, y) = (0, 0) (x, y) = (0, 0) f(x, y) = = g(x, y) = x² + 6, (x, y) = (0, 0) # (x, y) = (0, 0) O f is continuous everywhere except at (0, 0) and g is continuous everywhere. O f is continuous everywhere except at (0, 0) and g is continuous everywhere except at (0, 0). O f is continuous everywhere and g is continuous everywhere. Of is continuous everywhere and g is continuous everywhere except at (0, 0).
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