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iLearnMath.Net | AP Calculus | Fiesta 13 2009 Name ____________ Show all your work for full credit. Graphing calculators are not permissible. Discuss the given relation in as much detail as possible (domain, intercepts, asymptotes, local and global extrema, inflection points, increasing/decreasing behavior, concavity, continuity). Your response should include neat table summaries of the signs of the function, as well as its two derivatives. Your discussion should conclude with a sketch of the curve. #1 xy = x 2 + x + 1
#2 − 2x 2 + 5x − 1 y= 2x − 1
#3 y=
2x 3 + x 2 +1 x 2 +1
#4 y=
(x + 1)3 (x − 1)2
#2 − 2x 2 + 5x − 1 y= 2x − 1
#3 y=
2x 3 + x 2 +1 x 2 +1
#4 y=
(x + 1)3 (x − 1)2
