Module 07 Short Answer Assignment - Functions, Domains, Ranges, 1-1, Onto - Answer Key Each graph represents a relation (A) F : X Y , that may also be a function. (B) X Y 1 (C) X (D) Y X Y 1X aY 1 a 1 a 1 a 2 b 2 b 2 b 2 b 3 c 3 c 3 c 3 c 4 d 4 d 4 d 4 d (E) (F) X Y X (G) X (H) Y X Y Y 1 a 1 a 1 a 1 a 2 b 2 b 2 b 2 b 3 c 3 c 3 c 3 c 4 d 4 d 4 d 4 d For questions 1 - 6, answer the following questions by typing the number above the graph on the line. If there are no functions of the given type, write none on the line. 1. 2. 3. 4. 5. 6. Which of the above represent a partial function? _ ____________ Which of the above represent a total function? _ ___________ Which of the above represent a 1-1 function? _ ______________________ Which of the following represent an onto function? __ ___________________ Which of the above represent a 1-1 correspondence? _ ___________________ Which of the above are not functions? ___________________________________ Module 07 Short Answer Assignment - Functions, Domains, Ranges, 1-1, Onto - Answer Key For questions 7 - 18, your answers will be sets of numbers or letters associated with the points of the diagrams. Write your answers in set list form, enclosing each list of points in curly brackets. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. What is the domain of (A)? ________________________ What is the domain of definition of (A)? _________ What is the co-domain of (A)? ____________________________ What is the range (A)? ______________________________ What is the domain of (D)? ________________________________ What is the domain of definition of (D)? __________________________ What is the co-domain of (D)? _____________________________ What is the range of (D)? _______________________________________ What is the domain of (E)? _______________________________ What is the co-domain of (E)? ______________________________ What is the range of (E)? __________________________________ What is the domain of (H)? ________________________________ What is the co-domain of (H)? _____________________________ What is the range of (H)? __________________________________________ 2