The following information is about the function f. •the domain of f is (−∞,−1)∪(−1,∞) •f(0) = 0, f(1) =1/2 •f′(−1) is undefined, f′(0) = 0 •f′(x)>0 on (−∞,−1) and (0,∞). ,f′(x)0 on (−∞,−1) and (−1,1),...

The following information is about the function f.

•the domain of f is (−∞,−1)∪(−1,∞)

•f(0) = 0,     f(1) =1/2

•f′(−1) is undefined,       f′(0) = 0

•f′(x)>0 on (−∞,−1) and (0,∞).    ,f′(x)<0 on="">

•f′′(−1) is undefined,   f′′(1) = 0.

•f′′(x)>0 on (−∞,−1) and (−1,1),       f′′(x)<0 on="">

•limx→−1f(x) =∞,        limx→±∞f(x) = 1

1) Sketch a graph of y=f(x). Label all local max and mins, points of inflection, asymptotes and pay attention to where f(x) is increasing/decreasing and concave up/down.