precal
posted by ladybug .
what is the slant asymptote of the graph of the rational function and b use the slant to graph the rational function. f(x)x^2x20/x6
a. y=? or either there is no slant rational function
B. use the slant asymptote to graph the function(first determine the symmetry of the graph of f)
*the graph has yaxis symmetry f(x)=f(x)
*the graph has orgin symmetry f(x)=f(x)
*the graph has both yaxis and orgin symmetry
*the graph has neither yaxis nor orgin symmetry

I used synthetic division and got
(x^2  x  20)/(x6)
= x + 5 + 10/(x6)
so the slanted asymptote is
y = x + 5
b) we can't draw graphs on here