Determine if each of the following functions from {a, b, c, d} to itself is one-to-one and/or onto. Check ALL correct answers.
(a) f(a) = b, f(b) = a, f(c) = c, f(d) = d
onto, one-to-one, neither one-to-one nor onto.
(b) f(a) = d, f(b) = a, f(c) = c, f(d) = b
one-to-one
(c) f(a) = c, f(b) = d, f(c) = a
neither one-to-one nor onto, onto