Decide if each is a subspace of the vector space of real-valued func- tions of one-variable. 1. The set of functions F = {f :R →R: f(0) = 0 for all z € R}. 2. The set of functions G = {f:R → R: f(x) = f(1– x) for all z € R}. For each case provide justification.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.