Function 1: Write a rational function that has exactly one vertical asymptote, no holes and a horizontal asymptote of y=0.

Question

Write the function in factored form and then write it in standard form.

List the vertical asymptote and explain how you know that the horizontal asymptote of your function is y=0.

Describe the end behavior of the function.

Answer 1

The simplest answer is y=1/x. It has one vertical asymptote as x=0 and one horizontal asymptote at y=0.