Which of sets of functions constitute linear vector spaces with respect to the naturally defined addition and scaling? Explain.
Continuous unbounded functions
Discontinuous odd functions
Linear-fractional functions, i.e., functions of the form f(x) = ax+bcx+d
The set of functions of the form f (x) = A cot(x + φ), where A andφ are arbitrary constants.
The set of functions of the form f(x)=p(x)sin(2019x)+q(x)cos(2019x), where p(x) and q(x) are polynomials.
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