Determine whether the set of all first-degree polynomial functions as given below, whose graphs pass through the origin with the standard operations, is a vector space. If it is not, then determine the set of axioms that it fails. ax, a 0 O a. This set is not a vector space. It fails the following axioms. Scalar identity Associative property Distributive property Additive identity O b. This set is not a vector space. It fails the following axioms. Commutative property Additive identity Distributive property O c. This set is not a vector space. It fails the following axioms. Closer under addition Closer under scalar multiplication O d. This set is a vector space. All ten vector space axioms hold. O e. This set is not a vector space. It fails the following axioms. Additive identity Additive inverse Associative property Scalar identity

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