1
answer
0
watching
219
views
28 Mar 2020
End Behavior: Graph the rational function, and find all vertical asymptotes,
and
intercepts, and local extrema, correct to the nearest tenth. Then use long division to find a polynomial that has the same end behavior as the rational function, and graph both functions in a sufficiently large viewing rectangle to verify that the end behaviors of the polynomial and the rational function are the same.
![](data:image/png;base64,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)
End Behavior: Graph the rational function, and find all vertical asymptotes, and
intercepts, and local extrema, correct to the nearest tenth. Then use long division to find a polynomial that has the same end behavior as the rational function, and graph both functions in a sufficiently large viewing rectangle to verify that the end behaviors of the polynomial and the rational function are the same.
Elin HesselLv2
22 May 2020