Question: Do sets of functions constitute linear vector spaces with respect to the naturally defined addition and scaling? Discontinuous even functions Linear-fractional functions he set of

Do sets of functions constitute linear vector spaces with respect to the naturally defined addition and scaling?

  1. Discontinuous even functions
  2. Linear-fractional functions
  3. he set of functions of the formf(x) =Acos(x+), whereAandare arbitrary constants.
  4. The set of functions of the formf(x) =p(x)e2020x, wherep(x) is a polynomial.

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