In this function, f(x)= [2/(x-3)]+1: I know it is a rational function and the graph moves 1 unit up and 3 units right. I also see that the 2 makes the function move closer, but I don't understand why it does that in mathematical terms.

Answer 1

I do not understand your statement:

"2 makes the function move closer" closer to what?

1 is the asymptotic value of f(x) for very large postive or large negative x. The function goes to infinity at x=3, because of th4 zero denominator there.

Answer 2

thank you for replying, but i figured it out