Define s is the set of all polynomials of degree two

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Question: In Exercises, determine if the given set S is a subspace of the space C[0, 1] of all real valued functions that are continuous on the interval 0 ≤ x ≤ 1. Give reasons why either S is a subspace, or it is not.

Exercise: 1. S is the set of all polynomials of degree two.

2. S is the set of all polynomial functions.

3. S is the set of all continuous functions such that f(0) = f(1) = 0.

Reference no: EM131593983

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