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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.

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Presentation on theme: "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."— Presentation transcript:

1 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

2 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

3 Define f: R  R by f(x) = x 2. Is f onto? (1) Yes (2) No

4 Define f: Z  Z by f(x) = x + 2. Is f onto? (1) Yes (2) No

5 Define f: R  R by f(x) = [x]. Is f onto? (1) Yes (2) No

6 Define f: R  Z by f(x) = [x]. Is f onto? (1) Yes (2) No

7 Define f: R´R  R by f(x,y) = x  y. (f is the multiplication function). Is f onto? (1) Yes (2) No

8 Define f: R  R´R by f(x) = (x, 2x). Is f onto? (1) Yes (2) No

9 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

10 Define f: R  R by f(x) = x 2. Is f one-to-one? (1) Yes (2) No

11 Define f: Z  Z by f(x) = x + 2. Is f one-to-one? (1) Yes (2) No

12 Define f: R  Z by f(x) = [x]. Is f one-to-one? (1) Yes (2) No

13 Define f: R´R  R by f(x,y) = x  y. (f is the multiplication function). Is f one-to-one? (1) Yes (2) No

14 Define f: R  R´R by f(x) = (x, 2x). Is f one-to-one? (1) Yes (2) No


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