Determine if the following functions are one-to-one, even, odd, periodic.
(a) $f(x) = x^2 - 4x + 3$
neither even nor odd
not one to one
periodic
(b) $f(x) = \sin 2x$, for $x \in [-\pi, \pi]$
odd
not one to one
periodic
(c) $f(x) = \cos 6x$
even
not one to one
periodic
(d) $f(x) = 8x^{17}$
odd
one to one
not periodic