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) On what intervals is f concave up or down?


(2) Find all inflection points of f.


(3) Find the equation of the horizontal asymptote of f, or indicate that there is no horizontal asymptote.



Jun 04, 2022
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