Determine which of the following functions are one-to-one. OA. f: R² → R² defined by f(x, y) = (x + y, x−y). B. f: R → R defined by f(x) = x². c. f: R² R2 defined by f(x, y)= (x +y, 2x + 2y). OD. f: R → R defined by f(x) = ³ - E. f: R → R defined by f(x) = ³.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine which of the following functions are one-to-one.
A. f: R²
R² defined by f(x, y) = (x + y, x−y).
R defined by f(x) = x².
B. f: R →
c. f: R²
R² defined by f(x, y) = (x+y, 2x + 2y).
D. f: R → R defined by f(x) = ³ - x.
E. f: R → R defined by f(x) = ³.
Transcribed Image Text:Determine which of the following functions are one-to-one. A. f: R² R² defined by f(x, y) = (x + y, x−y). R defined by f(x) = x². B. f: R → c. f: R² R² defined by f(x, y) = (x+y, 2x + 2y). D. f: R → R defined by f(x) = ³ - x. E. f: R → R defined by f(x) = ³.
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