How do you find the asymptotes for #(x^2 - 5x + 6)/( x - 3)#?
1 Answer
The asymptotes are
Explanation:
An asymptote is defined as a line or curve that another line or curve approaches, but never meets. As such, we simply find the values of
To find the vertical asymptote, you simply look at the denominator. The denominator, as you already know, cannot equal 0, else the curve would be undefined.
So, the
Therefore,
To find the horizontal asymptote, divide every symbol/number in both the numerator and denominator by the highest
For example, in this equation, the highest
So,
For all values that are any value over x, replace that with a 0 as, as
graph{(x^2-5x+6)/x-3 [-3.095, 16.905, -4.44, 5.56]}