How to decide whether the relation x+y=25 defines a function?
Jazlyn Durham
Answered
2022-12-31
How to decide whether the relation defines a function?
Answer & Explanation
madwindnhe
Expert
2023-01-01Added 7 answers
It is a FUNCTION if we use the vertical line and the graph of the given relation only intersects at one specific point. Otherwise, it is not. Kindly see the graph of graph{(x+y-25)(y+10000x-15*10000)=0[-50,50,-25,25]} How to test using the vertical line test Example: the graph of is NOT A FUNCTION because, using a vertical line will intersect in more than one point. graph{(y^2-4y-2x)(y+10000x-15*10000)=0[-20,20,-10,10]} Example: the graph of is a FUNCTION because, using a vertical line will intersect in only one point. graph{(2x^2-5x-3y)(y+10000x-2*10000)=0[-20,20,-10,10]}