SOLUTION: Find the domain and the range of the relation and determine wether it is a function. {(10,3),(-9,-4),(1,-2),(4,-10)} The domain is {}?? (Simplify your answers. Type an interger

Algebra ->  Functions -> SOLUTION: Find the domain and the range of the relation and determine wether it is a function. {(10,3),(-9,-4),(1,-2),(4,-10)} The domain is {}?? (Simplify your answers. Type an interger       Log On


   



Question 516595: Find the domain and the range of the relation and determine wether it is a function.
{(10,3),(-9,-4),(1,-2),(4,-10)}
The domain is {}??
(Simplify your answers. Type an interger or a fraction. Use commas to seperate answers.)

can you explain to me how i solve this?? i have many more like it...
My email is amberdegen@yahoo.com

Answer by solver91311(24713) About Me  (Show Source):
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The domain is the set of -coordinates. The range is the set of -coordinates. If you can find an element in the domain set that maps to more than one element in the range set, then the relation is NOT a function, otherwise it is a function.





10 only maps to 3, -9 only maps to -4, 1 only maps to -2, and 4 only maps to -10. Therefore it is a function. Note that if there had been two domain values that map to the same range value, that would not have disqualified the relation as a function.

Here is how to see it visually: Plot your points (and connect them with a smooth curve if you are given a rule for the relation rather than a set of distinct points) and then if you can find a vertical line that goes through any two points in your relation, then it is NOT a function.

John

My calculator said it, I believe it, that settles it
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