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Question: which of the following subsets of f the vector space...

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Which of the following subsets of F (the vector space of functions from R to R) are actually sublspaces?Explain your answer. a) The set of functions j such that J (0) = 1. (b) The set of functions f such that f(0) = 0. (c) The set of functions f such that f()-f(x) for all real numbers r (these are called odd functions. (d) The set of functions f such that f(-x) -f(x) for all real numbers (these are called even functions. (e) The set of functions f that are either even, odd, or both (this is called the union of the sets of even and odd functions)
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