y = x^2 / x-5  graph the function -identify the domain and any symmetries -find the derivatives y' and y"

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 26E: For each function find a the critical numbers; b the open intervals where the function is...
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y = x^2 / x-5 

graph the function

-identify the domain and any symmetries

-find the derivatives y' and y"

-find the critical points and identify the function's behavior at each one

-find where the curve is increasing and where it is decreasing,

-find the points of inflection

-determine the concavity of the curve

-identify any asymptotes

-find the coordinates of absolute extreme points, if any

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