2. (5) Is the set of continuous, piece-wise linear functions (each consisting of a finite number of segments) a subspace
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2. (5) Is the set of continuous, piece-wise linear functions (each consisting of a finite number of segments) a subspace
2. (5) Is the set of continuous, piece-wise linear functions (each consisting of a finite number of segments) a subspace of the normed (vector) space C[0,1]? Is it dense? Support your answers of course.
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