Sketch the graph of the function ?(?)= (2x2-5x+2)/(x+1)2, given the derivatives: ? ′(?) = (9?−9)/(?+1)3 and...

Sketch the graph of the function ?(?)= (2x²-5x+2)/(x+1)², given the derivatives:

? ′(?) = (9?−9)/(?+1)³ and ? ′′(?) = (36?−18)/(?+1)⁴

Your sketch should consider the following:
● x- and y-intercepts, if any.
● Horizontal and vertical asymptotes, if any. (Show the computation of any relevant

limit.)
● Intervals over which ?(?) is increasing/decreasing.
● Intervals over which ?(?) is concave up/down.
● Relative (local) maximum/minimum points and points of inflection, if any. Identify

these clearly on the sketch.

Expert Solution

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milcah answered 2 years ago

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Question

Sketch the graph of the function ?(?)= (2x2-5x+2)/(x+1)2, given the derivatives: ? ′(?) = (9?−9)/(?+1)3 and...

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Expert Solution

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