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.