Graph a rational function with a hole and a slant asymptote; use Calculus for rel max/min and P of I

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Question: Curve Sketching - Graph the following equation with precision
Graph the following equation with precision. Show all calculations. 
 
x4 - 2x3 - x + 2
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     x3 - 4x
 
the dotted line is division. Just made it easier to read. (Hopefully)
 
Here is what I have so far
 
x-intercept = (1, 0)
Hole at x=2
Y-intercept: none
vertical asymptote: x = 0 and x = -2
 
I need help graphing it and finding the slant asymptote. Please include all work!

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Answered By:

Doug C.
Math Tutor with Reputation to make difficult concepts understandable
More information: https://www.wyzant.com/Tutors/AZ/Mesa...

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