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Q: Which function below has the following domain and range?

Domain: {−9,−5,2,6,10}

Range: {−2,0,8}

a. {(−2,−5),(8,10),(0,6),(−2,−9),(0,2)}
b. {(−9,10),(−2,8)}
c. {(−9,−2),(−5,0),(2,8),(6,5),(10,9)}
d. {(2,0),(−5,−2),(10,8),(6,0),(−9,−2)}

### 1 Answer by Expert Tutors

Rebecca R. | Experienced Elementary School Math and Algebra 1 TutorExperienced Elementary School Math and A...
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The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
So, if you look at the coordinates of the points you are given (x,y), the x values need to be in the domain and the y values need to be in the range.

For answer "a", there are two coordinates with -2 in the x coordinate. Because -2 is not in the Domain, "a" cannot be a function with that domain.

For answer "b", again, -2 is listed as an x- coordinate. However, -2 is not in the domain so it is not a possibility.

For answer "c", all the x- coordinates are in the domain list. However, the y-coordinates 5 and 9 are not in the Range list so it is not what you're looking for.

For answer "d" the x values are 2,-5,10,6,-9.  and these are all in the Domain list.  The corresponding y coordinates are 0,-2,8, and these are all in the Range list. Therefore your answer is "d".