ryanlong304
New member
- Joined
- May 31, 2014
- Messages
- 1
Is the set A={((x,y),(3y,2x,x+y)): x and y are real numbers} a function? If so, what is its domain, codomain, and range?
This seems like it would be a function to me. It's mapping R2 onto R3, and it does seem to satisfy the conditions of being a function.
So, I would expect for the domain to be R2 and the codomain to be R3. My main problem is trying to identify what the range would be. From what I understand, the first two coordinates (3y and 2x) can be any real numbers, but the third coordinate (x+y) is more restricted, right? The reason that I say this is because it would be impossible to get (0,0,1) as an output of the function. The only way of writing the output that then makes sense to me is something like: {(3k, 2c, c+k): c and k are real numbers}. This just seems like improper notation to me.
I would greatly appreciate any help that anyone can offer.
This seems like it would be a function to me. It's mapping R2 onto R3, and it does seem to satisfy the conditions of being a function.
So, I would expect for the domain to be R2 and the codomain to be R3. My main problem is trying to identify what the range would be. From what I understand, the first two coordinates (3y and 2x) can be any real numbers, but the third coordinate (x+y) is more restricted, right? The reason that I say this is because it would be impossible to get (0,0,1) as an output of the function. The only way of writing the output that then makes sense to me is something like: {(3k, 2c, c+k): c and k are real numbers}. This just seems like improper notation to me.
I would greatly appreciate any help that anyone can offer.