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 computationof 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.
