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24 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,iVBORw0KGgoAAAANSUhEUgAAAEMAAAAfBAMAAABOqG3MAAAACXBIWXMAAABkAAAAZAAPlsXdAAAAJ1BMVEVHcEwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB+jSoGAAAADHRSTlMAiER3VTMRoWYivuTIBX/JAAAA3ElEQVQ4y2NgwAGkDBgIAQWCKhiMTAir4SakgMUAvxIX4/awTrwWsTmoMyYw4TWELUGYsFOXElLA6naAg4AS5uIST0LGBLAyUB8kl7IWEFDSUMQswMApCAQCuJSkbWBHxDuHIAYQAooKAOOLDcQBpiFWJQygycDAKBAF1A7iBOCyiKmoEE1kigN6aGeWogpwFrgjxSiI0GJC93NAI0J/N4jMcMZIcEh6eHA4TwuvEmCSjDDgwacElCQzLSXwKgElSaYEIKsRGJYK2N2CliR5CCdJHoJJkkNGgqgkCQDtOyBAb0UBTAAAAABJRU5ErkJggg==)
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.
Deanna HettingerLv2
13 May 2020