For each of the following correspondences, write exactly one of the following. • ONE-TO-ONE • ONTO • NEITHER ONE-TO-ONE
Posted: Mon Jul 11, 2022 12:03 pm
For each of the following correspondences, write exactly one ofthe following. • ONE-TO-ONE • ONTO • NEITHER ONE-TO-ONE NOR ONTO •BOTH ONE-TO-ONE AND ONTO • NOT A FUNCTION
(a) f : R → R by f(x) = x 7
(b) h : Z → Z by h(n) = 3n
(c) g : {1, 2} → {a, b} by g(1) = a, g(2) = a
(d) k : {1, 2} → {a, b} by k(1) = a, k(1) = b, k(2) = a
(e) z : Z → Z by z(n) = n + 1
(a) f : R → R by f(x) = x 7
(b) h : Z → Z by h(n) = 3n
(c) g : {1, 2} → {a, b} by g(1) = a, g(2) = a
(d) k : {1, 2} → {a, b} by k(1) = a, k(1) = b, k(2) = a
(e) z : Z → Z by z(n) = n + 1