SOLUTION: Let R(x)=x^3-2x^2-7/x^2+1. What kind(s) of asymptotes does R(x) possess? a. A single horizontal asymptote b. A slant asymptote and a horizontal asymptote c. A single slant

Algebra ->  Equations -> SOLUTION: Let R(x)=x^3-2x^2-7/x^2+1. What kind(s) of asymptotes does R(x) possess? a. A single horizontal asymptote b. A slant asymptote and a horizontal asymptote c. A single slant      Log On


   

Question 143972: Let R(x)=x^3-2x^2-7/x^2+1. What kind(s) of asymptotes does R(x) possess?
a. A single horizontal asymptote
b. A slant asymptote and a horizontal asymptote
c. A single slant asymptote
d. R(x) has no asymptotes
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
The degree of the numerator is greater than the degree of the denominator. Thus there will be 1 slant asymptote.
c.
We can see this, moreover, in the graph:
graph%28+300%2C+200%2C+-5%2C+5%2C+-10%2C+10%2C+%28x%5E3-2x%5E2-7%29%2F%28x%5E2%2B1%29+%29