How do you decide whether the relation #x - 3y = 2# defines a function?
1 Answer
Mar 25, 2016
Explanation:
- Given:
#x-3y=2# - Required: Is the above relation a function?
- Solution Strategy: Use the standard definition of a function.
Let X and Y be sets. - A function
#f : X → Y# means that for every#x ∈ X# , there is a unique#f(x) ∈ Y# . We call the se X the domain of#f# .
The take home lesson here is that a
So we need to show that the function in your question uniquely maps
1) First write you equation in the form:
Now we see that for every
So we conclude that