Determine which of the following functions are one-to-one. OA. f: R² R2 defined by f(x, y)= (x + y, 2x + 2y). B. f: R → R defined by f(x) = x³. Oc. f: R → R defined by f(x) = x².

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Determine which of the following functions are one-to-one.
OA. f: R² R2 defined by f(x, y) = (x+y, 2x + 2y).
OB. f: R → R defined by f(x) = x³.
Oc. f: R → R defined by f(x) = x².
OD. f: R³
OE. f: R³
R³ defined by f(x, y, z) = (x - y, yz, x-z).
R³ defined by f(x, y, z) = (x + y, y+z, x+z).
Transcribed Image Text:Determine which of the following functions are one-to-one. OA. f: R² R2 defined by f(x, y) = (x+y, 2x + 2y). OB. f: R → R defined by f(x) = x³. Oc. f: R → R defined by f(x) = x². OD. f: R³ OE. f: R³ R³ defined by f(x, y, z) = (x - y, yz, x-z). R³ defined by f(x, y, z) = (x + y, y+z, x+z).
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