140 likes | 197 Views
Let A = {1,2,3,4} and B = {a,b,c}. Define the relation f from A to B by f = {(1,b), (2,a), (3,c), (4,b)}. Is f a function? (1) Yes (2) No. Let A = {1,2,3,4} and B = {a,b,c}. Define the relation f from A to B by f = {(1,b), (2,a), (3,c), (4,b)}.
E N D
Let A = {1,2,3,4} and B = {a,b,c}. Define the relation f from A to B by f = {(1,b), (2,a), (3,c), (4,b)}. Is f a function? (1) Yes (2) No
Let A = {1,2,3,4} and B = {a,b,c}. Define the relation f from A to B by f = {(1,b), (2,a), (3,c), (4,b)}. Is f onto? (1) Yes (2) No
Define f: RR by f(x) = x2. Is f onto? (1) Yes (2) No
Define f: ZZ by f(x) = x + 2. Is f onto? (1) Yes (2) No
Define f: RR by f(x) = [x]. Is f onto? (1) Yes (2) No
Define f: RZ by f(x) = [x]. Is f onto? (1) Yes (2) No
Define f: R´RR by f(x,y) = x y. (f is the multiplication function). Is f onto? (1) Yes (2) No
Define f: RR´R by f(x) = (x, 2x). Is f onto? (1) Yes (2) No
Let A = {1,2,3,4} and B = {a,b,c}. Define the relation f from A to B by f = {(1,b), (2,a), (3,c), (4,b)}. Is f one-to-one? (1) Yes (2) No
Define f: RR by f(x) = x2. Is f one-to-one? (1) Yes (2) No
Define f: ZZ by f(x) = x + 2. Is f one-to-one? (1) Yes (2) No
Define f: RZ by f(x) = [x]. Is f one-to-one? (1) Yes (2) No
Define f: R´RR by f(x,y) = x y. (f is the multiplication function). Is f one-to-one? (1) Yes (2) No
Define f: RR´R by f(x) = (x, 2x). Is f one-to-one? (1) Yes (2) No