Which of the following is continuous at (0,0)? A. f(x,y) = |x| + [yl x-y B. f(x, y) = and f(x,y) = 0 if x + y = 0 x+y C. f(x, y) = - and f(0,0) = 0 x²+y² x²y D. f(x,y) = and f(0,0) = 0 %3D %3D x4+y²

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Which of the following is continuous at (0,0)?
A. f(x,y) = |x| + [yl
B. f(x, y) = and f(x, y) = 0 if x+ y = 0
x+y
C. f(x,y) = -
and f(0,0) = 0
x²+y²
x²y
D. f(x,y) =
and f(0,0) = 0
%3D
%3D
x4+y²
Transcribed Image Text:Which of the following is continuous at (0,0)? A. f(x,y) = |x| + [yl B. f(x, y) = and f(x, y) = 0 if x+ y = 0 x+y C. f(x,y) = - and f(0,0) = 0 x²+y² x²y D. f(x,y) = and f(0,0) = 0 %3D %3D x4+y²
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