so I recently ran over a task in my Maths exams that really confused me:
I had certain characteristics given, and my task was, to create a broken rational function, that fullfills all requirements.
The characteristics were something like:
Defenitions set: D=R{-2;2} Roots of the function: x=1, this root is a double root. -2 is supposed to be a infinity point (vertical asymptote)
And some others, but for the sake of just understanding, how i do that, those requierments are sufficient.
So i wouldve created a basic function, that fullfills a single requierment, then do that for every requierment, so that i have a few individual functions. Afterwards, i wouldve multiplied every fuction with the other functions.
I hope that my explanation is clear, English isnt my mothertongue, and talking about that in mathematical jargon is kinda hard.
Thanks in advance!