1. ## Pre-Cal question, graphing

Given the parabolic asymptote: x^2+1 and the vertical asymptote: x=0, find the function

2. ## Re: Pre-Cal question, graphing

Originally Posted by steward0099
Given the parabolic asymptote: x^2+1 and the vertical asymptote: x=0, find the function
The simplest way to do this question is adding or subtracting a summand which becomes zero if the absolute value of x approaches infinity.

This will do:

$f(x)=x^2+1+\frac1{x^2}$

or this

$f(x)=x^2+1-\frac1{x^2}$