#### • Class 11 Physics Demo

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# domain and range of ordered pairs

Question:Given the set of ordered pairs {(2, 2), (5, 2), (7, 5), (5, 5)}, determine the domain and range and state if the set is a function.

Answers:It's not a function, it's a relation

Question:Please help with my math problem. Give an example of a set of ordered pairs that has five elements in its domain and four elements in its range.

Answers:(5,4) (3,5) (6.3) (4,3) (1,2) I think that would be the answer because the domain (the x values of the ordered pairs) of this function would be <1,3,4,5,6> which is 5 different numbers while the range (the y values of the ordered pairs) is < 2,3,4,5> four different numbers. I think that's right : )

Question:I have to give my own example of a function using a set of at least four ordered pairs. The domain will be any four integers between 0 and 10. The Range will be any four integers between -12 and 5. THEN I have to give my own example of at least four ordered pairs that DOES NOT model a function. The domain will be any four integers between 0 and 10. The range will be any four integers between -12 and 5. Help?

Answers:First of all, "Domain" means the X values (the values that you can put INTO the function without violating any rules of math) and "Range" means the Y values (the values that can come OUT of the function without violating any rules of math. Now - if it's a function, that means that for every "X" value, there is ONE and only one "Y" value. An example for this problem might be: (1, -2) (2, 0) (4,3) (6, 5) It doesn't have to follow a pattern or a straight line or anything like that. For something that's NOT a function, that means that there is at least one "X" value that has more than one possible "Y" value. So you can pick maybe two ordered pairs that have the same "X," but different "Ys." Example: (1,2) (1,4) (2,3) (5, -3) Notice there are two "Y" values when X=1, so this is not a function.

Question:When a function is represented by a set of ordered pairs, which is the first value placed in the ordered pair? A. domain B. a word C. a number D. range