Show that the function f : R → R : f(x) = sin x is neither one - one nor onto.
f(x) = sinx
y = sinx
Here in this range, the lines cut the curve in 2 equal valued points of y, therefore, the function f(x) = sinx is not one - one.
Range of f(x) = [ - 1,1]≠R(codomain)
∴f(x) is not onto.
Hence, showed that the function f : R → R : f(x) = sin x is neither one - one nor onto.