a. f((x1, yı) + (x2, Y2)) = . (Enter x1 as x1, etc.) f((x1, yı )) + f((x2, y2)) = Does f({x1, yı) + (x2, y2 )) = f({x1, y1)) + f((x2, y2)) for all (x1, y1), (x2, Y2) E R?? choose + b. f(c(x, y)) = c(f((x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c ER and all (x, y) E R²? choose c. Is f a linear transformation? choose

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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Let f:R2→R be defined by f(⟨x,y⟩)=3x−9y+6. Is f a linear transformation?

a. f((x1, yı) + (x2, y2 )) =
. (Enter x1 as x1, etc.)
f((x1, yı )) + f((x2, y2)) =
Does f((x1, yı) + (x2, Y2 )) = f({x1, Y1 )) + f((x2, y2)) for all (x1, yı ), (x2, V2) E R²? choose
b. f(c(x, y)) :
c(f({x, y))) =
Does f(c(x, y)) = c(f((x, y))) for all c ER and all (x, y) E R?? choose
c. Is f a linear transformation? choose
Transcribed Image Text:a. f((x1, yı) + (x2, y2 )) = . (Enter x1 as x1, etc.) f((x1, yı )) + f((x2, y2)) = Does f((x1, yı) + (x2, Y2 )) = f({x1, Y1 )) + f((x2, y2)) for all (x1, yı ), (x2, V2) E R²? choose b. f(c(x, y)) : c(f({x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c ER and all (x, y) E R?? choose c. Is f a linear transformation? choose
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