# Quiz3Sol - 2 Let R be a relation such that R ⊂ Z x Z...

This preview shows page 1. Sign up to view the full content.

COT 3100 Quiz #3 Solutions Spring 2001 3/1/01 Name: __________________ 1) Let R and S be relations that are both subsets of A x A, with A = {1,2,3,4,5}. R={(1,3),(2,4),(3,5),(4,3),(5,2)} and S={(2,4), (1,3), (3,5), (2,1), (4,2)} What is R ° S? What is S ° R? Are either of these functions? R ° S = {(1,5), (2,2), (4,5), (5,1), (5,4)} – not a function; 3 isn’t related to anything S ° R = {(1,5), (2,3), (3,2), (4,4)} – not a function; 5 isn’t related to anything
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2) Let R be a relation such that R ⊂ Z + x Z + . Define R as follows: R = {(a,b) | a – b = 3b – a } List 5 elements of R. Virtually anything works here. ..(2,1), (4,2), (6,3), (8,4), (10,5) 3) Let f(x) = 3x 2 – 4x + 5, g(x) = 3 – x. What is f(g(1))? g(1) = 2 f(2) = 3*4 – 4(2) + 5 = 12 – 8 + 5 = 9...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern