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Solve the Problem y=f(x)\mathrm { y } = \mathrm { f } ( \mathrm { x } )

question 288

Multiple Choice

Solve the problem.
-Select an appropriate graph of a twice-differentiable function y=f(x) \mathrm { y } = \mathrm { f } ( \mathrm { x } ) that passes through the points (2,1) ( - \sqrt { 2 } , 1 ) , (63,59) ,(0,0) ,(63,59) \left( - \frac { \sqrt { 6 } } { 3 } , \frac { 5 } { 9 } \right) , ( 0,0 ) , \left( \frac { \sqrt { 6 } } { 3 } , \frac { 5 } { 9 } \right) and (2,1) ( \sqrt { 2 } , 1 ) , and whose first two derivatives have the following sign patterns.
 Solve the problem. -Select an appropriate graph of a twice-differentiable function  \mathrm { y } = \mathrm { f } ( \mathrm { x } )   that passes through the points  ( - \sqrt { 2 } , 1 )  ,  \left( - \frac { \sqrt { 6 } } { 3 } , \frac { 5 } { 9 } \right)  , ( 0,0 )  , \left( \frac { \sqrt { 6 } } { 3 } , \frac { 5 } { 9 } \right)   and  ( \sqrt { 2 } , 1 )  , and whose first two derivatives have the following sign patterns.    A)     B)     C)     D)


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