I am having trouble trying to figure out how to work this problem:
Determine if each relation is a function.
1. Relation: (-2,2),(3,2,),(4,-1),(5,-2)
How do i do this???????
i am having the same trouble too. i think if the x points are different, the its a function. but if not, then its not a function.
seeking for help also :)
By definition, it is a function.
Have you learned about the Vertical Line Test?
Here is a short video that explains it.
Too bad that the guy is sort of dry in his explanation.
http://www.youtube.com/watch?v=-xvD-n4FOJQ
To determine if a relation is a function, you need to check if each element in the domain (the x-values) is associated with a unique element in the range (the y-values). Here's how you can go about it:
1. Write down the given pairs of coordinates in the relation:
(-2,2), (3,2), (4,-1), (5,-2)
2. Identify the x-values (domain) and y-values (range) in the relation:
Domain: -2, 3, 4, 5
Range: 2, 2, -1, -2
3. Check if each x-value has a unique y-value:
- The x-value -2 is associated with the y-value 2 ONLY ONCE.
- The x-value 3 is associated with the y-value 2 ONLY ONCE.
- The x-value 4 is associated with the y-value -1 ONLY ONCE.
- The x-value 5 is associated with the y-value -2 ONLY ONCE.
Since each x-value in the domain is associated with a unique y-value in the range, this relation is a function.
In summary, to determine if a given relation is a function, you need to ensure that each x-value is associated with only one y-value.