isi-entrance 2021 Q8

isi-entrance · India · UGA Applied differentiation Convexity and inflection point analysis

Let $f : \mathbb { R } \rightarrow \mathbb { R }$ be a twice differentiable function such that $\frac { d ^ { 2 } f ( x ) } { d x ^ { 2 } }$ is positive for all $x \in \mathbb { R }$, and suppose $f ( 0 ) = 1 , f ( 1 ) = 4$. Which of the following is not a possible value of $f ( 2 )$ ?
(A) 7 .
(B) 8 .
(C) 9 .
(D) 10 .

Let $f : \mathbb { R } \rightarrow \mathbb { R }$ be a twice differentiable function such that $\frac { d ^ { 2 } f ( x ) } { d x ^ { 2 } }$ is positive for all $x \in \mathbb { R }$, and suppose $f ( 0 ) = 1 , f ( 1 ) = 4$. Which of the following is not a possible value of $f ( 2 )$ ?\\
(A) 7 .\\
(B) 8 .\\
(C) 9 .\\
(D) 10 .

Paper Questions

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