Algebra 2 NEED HELP

Question

The function f has a domain of (2,4,6,8) and a range of 1,5,9. Could f be represented by (2,1)(4,5)(6,9),(8,1)? Justify your answer

Answer 1

Domain refers to the possible x-values, while range refers to the possible y-values.

If we look at the coordinates given for f:

1. (2,1)
2. 2 is in the domain (2, 4, 6, 8)
3. 1 is in the range (1, 5, 9)
4. (4,5)
5. 4 is in the domain (2, 4, 6, 8)
6. 5 is in the range (1, 5, 9)
7. (6,9)
8. 6 is in the domain (2, 4, 6, 8)
9. 9 is in the range (1, 5, 9)
10. (8,1)
11. 8 is in the domain (2, 4, 6, 8)
12. 1 is in the range (1, 5, 9)

Therefore, f could be represented by those coordinates.

If, on the other hand, the function included the point (2,4), then it couldn't be f because although 2 is in the domain, 4 is not included in the range of f.