Determine whether or not the indicated set of functions is a subspace of the space F of all real-valued functions on R. The set of all f such that f(-x) = -f(x) for all x. Choose the correct answer below. C... O A. The set is not a subspace of F. The set contains the zero function and the set is closed under addition of its elements, but the set is not closed under multiplication by scalars. OB. The set is not a subspace of F. The set does not contain the zero function. OC. The set is a subspace of F. The set contains the zero function, the set is closed under addition of scalars, and the set is closed under multiplication by scalars. O D. The set is a subspace of F. The set contains the zero function, and the set is closed under the formation of linear combinations of its elements.

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