Let ƒ : R → R³ be defined by f(x) = (x, −6x², −6x). Is ƒ a linear transformation? a. f(x + y) = f(x) + f(y) = + Does f(x + y) = f(x) + f(y) for all x, y ER? choose b. f(cx) = c(f(x)) = Does f(cx) = c(f(x)) for all c, x E R? choose c. Isf a linear transformation? choose
Let ƒ : R → R³ be defined by f(x) = (x, −6x², −6x). Is ƒ a linear transformation? a. f(x + y) = f(x) + f(y) = + Does f(x + y) = f(x) + f(y) for all x, y ER? choose b. f(cx) = c(f(x)) = Does f(cx) = c(f(x)) for all c, x E R? choose c. Isf a linear transformation? choose
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![Let f: R → R³ be defined by f(x) = (x, −6x², −6x). Is ƒ a linear transformation?
a. f(x + y) =
f(x) + f(y) =
=
+
Does f(x + y) = f(x) + f(y) for all x, y ER? choose
b. f(cx) =
c(f(x)) =
Does f(cx) = c(f(x)) for all c, x € R? choose
c. Isf a linear transformation? choose
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5bc28c8-e2da-4655-bd50-d87af98278d3%2F3bb02207-5ef9-48b0-a9e4-dd2abe1168b8%2Fbyhnfwv_processed.png&w=3840&q=75)
Transcribed Image Text:Let f: R → R³ be defined by f(x) = (x, −6x², −6x). Is ƒ a linear transformation?
a. f(x + y) =
f(x) + f(y) =
=
+
Does f(x + y) = f(x) + f(y) for all x, y ER? choose
b. f(cx) =
c(f(x)) =
Does f(cx) = c(f(x)) for all c, x € R? choose
c. Isf a linear transformation? choose
+
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