Justily all answers in order to receive full credit 1. Functions (10 points) (1) (3 points) Determine whether each of these functions f a, b, c, dy a, b, c, dy is one-to-one and whether each of these functions is onto (a) f(a) = b, f(N) = a, f(c) = c, f(d) = d (b) f(a) = b, f(b) = b, f(c) = d, f(d) = c (c) f(a) = d, f(N) = b, f(c) = c, f(d) = d (2) (3 points) Determine whether each of these functions f : R R is a one-to-one correspondence (i.e., onto and one-to-one) (a) -3x +4 (b) -3r2 +7 (c) (x +2) (x - 1)x (3) (1 point) Find fog and go f where f, g : R R with f(x) 3x+4 and g(x) = x2 (4) (3 points) Give an example of a function from N to N that is: hint: try using absolute value, floor, or ceiling for parts (b) and (c) (a) one-to-one but not b) onto but not one-to-one (c) neither one-to-one nor onto onto