Show that the function


is many - one into.


Find (i) (ii) (iii)


(iv)


(i)


Here, x = 1/2,which is rational


f(1/2) = 1


(ii)


Here, x = √2,which is irrational


f(√2) = - 1


(iii)


Here, x = ∏, which is irrational


= - 1


(iv)


Here,x = 2 + √3, which is irrational


f(2 + √3) = - 1


Ans. (i) 1 (ii) - 1 (iii) - 1 (iv) - 1


1