Thread: Creating Rational Functions and Holes

1. Creating Rational Functions and Holes

We are graphing on Desmos and I am confused on how to do these questions and create holes for them.

1. Identify a rational function whose graph lies entirely above the x-axis and has a single vertical asymptote. Graph the above function.

2. Identify a rational function whose graph has the horizontal asymptote y=2 and two vertical asymptotes. Graph the function.

Could anyone please help me out with these questions? Thanks!

2. Re: Creating Rational Functions and Holes

1) $f(x) = \dfrac{1}{|x|}$ has a single vertical asymptote at $x=0$

2) $f(x) = 2+\left(\dfrac{1}{x-2}+\dfrac{1}{x+2}\right)$