Let V be a vector space and let W be a nonempty subset of V. Then W is a subspace of V if and only if the following conditions hold. If u and v are in W, then u + v is in W. If u is in W and c is a scalar, then cu is in W. Use the theorem above to determine whether W is a subspace of V. V = ℱ, W = {f in ℱ: f(0) = 8}