A function /(/) from R to R is called even if f(-t) = /(r), for all t in R, and odd if /

Chapter 4, Problem 47

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A function /(/) from R to R is called even if f(-t) = /(r), for all t in R, and odd if / ( t) = - /(r), for all t. Are the even functions a subspace of F(R, R), the space of all functions from R to R? What about the odd functions? Justify your answers carefully.

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