csat-suneung 2015 Q21

csat-suneung · South-Korea · csat__math-A 4 marks Stationary points and optimisation Find absolute extrema on a closed interval or domain

For all cubic functions $f ( x )$ satisfying the following conditions, what is the minimum value of $f ( 2 )$? [4 points] (가) The leading coefficient of $f ( x )$ is 1. (나) $f ( 0 ) = f ^ { \prime } ( 0 )$ (다) For all real numbers $x \geq - 1$, $f ( x ) \geq f ^ { \prime } ( x )$.
(1) 28
(2) 33
(3) 38
(4) 43
(5) 48

For all cubic functions $f ( x )$ satisfying the following conditions, what is the minimum value of $f ( 2 )$? [4 points]\\
(가) The leading coefficient of $f ( x )$ is 1.\\
(나) $f ( 0 ) = f ^ { \prime } ( 0 )$\\
(다) For all real numbers $x \geq - 1$, $f ( x ) \geq f ^ { \prime } ( x )$.\\
(1) 28\\
(2) 33\\
(3) 38\\
(4) 43\\
(5) 48

Paper Questions

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