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
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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) (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:
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