If f(x, y) is a function such that • f(0,0) = 0 • There exists e > 0 such that f(x, y) = 2x when y = 0 and -e

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 4ST
Question

true or false

If f(x, y) is a function such that
• f(0,0) = 0
• There exists e > 0 such that f(x, y) = 2.x when y = 0 and -e < x < € (i.e. for values
of x close to 0)
then fr(0,0) = 2.
Transcribed Image Text:If f(x, y) is a function such that • f(0,0) = 0 • There exists e > 0 such that f(x, y) = 2.x when y = 0 and -e < x < € (i.e. for values of x close to 0) then fr(0,0) = 2.
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