for any equation, what is an easy way of finding an asymptote? by the way im only up to a high school level in math ...
To find vertical asymptotes, you must find the zeros of the denominator
Ex. $\displaystyle \frac{3}{x-2}$
$\displaystyle x = 2
$
To find horizontal asymptotes, compare the degree of the numerator and the degree of the denominator of the rational function:
1. If the degree is the numerator < degree of the denominator, then the horizontal asymptote is 0
Ex. $\displaystyle \frac{3}{x-2}$
horizontal asymptote = 0
2. If the degree is the numerator = degree of the denominator, then the horizontal asymptote is:
$\displaystyle \frac{leading.coefficient.of.numerator}{leading.co efficient.of. denominator}$
ex. $\displaystyle \frac{2x-2}{3x+4}$
horizontal asymptote = $\displaystyle \frac{2}{3}$
3. If the degree is the numerator > degree of the denominator, then there is no horizontal asymptote
ex. $\displaystyle \frac{2x^2-2}{3x+4}$
There is no horizontal asymptote