Which of the following statements is/are true? there exists a continuous map (a) s:r>r such that f(r) = q (b) there exists a continuous map s:r->r such that f(r

Which of the following statements is/are true? There exists a continuous map (a) S:R>R such that f(R) = Q (b) There exists a continuous map S:R->R such that f(R)=Z. (c) There exists a continuous map f:R R" such that f(R)= {(x, y) e R :x +y =1} (d) There exists a continuous map s:[0,1]U[2, 3]{0,1}