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Describe the long-term behavior ​
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Describe the long-term behavior ​

Describe the long-term behavior ​-example-1
User DanielJ
by
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1 Answer

7 votes

Answer:

a. Slant asymptote with a slope of 5

Explanation:

Dividing out the polynomials, you get ...


(5x^2-x+13)/(x+10)=5x-51+(523)/(x+10)

As the magnitude of x gets large, the fraction goes to zero, and the behavior matches the line ...

y = 5x -51

This is a slant asymptote with a slope of 5 and a non-zero y-intercept.

Describe the long-term behavior ​-example-1
User Alexandr Shutko
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3.5k points
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