A real-valued function f defined on the real line is called an even function if J( -t) = f (t) for each real number t. Prove that the set of even functions defined on the real line with the operations of addition and scalar multiplication is a vector space.
A real-valued function f defined on the real line is called an even function if J( -t) = f (t) for each real number t. Prove that the set of even functions defined on the real line with the operations of addition and scalar multiplication is a vector space.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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A real-valued function f defined on the real line is called an even function if J( -t) = f (t) for each real number t. Prove that the set of even functions defined on the real line with the operations of addition and scalar multiplication is a
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