Determine which of the following conditions describe subspaces of the vector space C 1 consisting of all
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Determine which of the following conditions describe subspaces of the vector space C1 consisting of all continuously differentiable scalar functions f(x).
(a) f(2) = f(3),
(b) f′(2) = f(3),
(c) f′(x) + f(x) = 0,
(d) f(2 − x) = f(x),
(e) f(x + 2) = f(x) + 2,
(f) f(−x) = ex f(x).
(g) f(x) = a + b |x| for some a, b ∈ R,
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