Question

Describe the long-term behavior ​

Answer 1

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.