ap-calculus-ab None Q13

ap-calculus-ab · Usa · -bc_course-and-exam-description Stationary points and optimisation Analyze function behavior from graph or table of derivative
$x$- 10245
$f ^ { \prime } ( x )$119852

Let $f$ be a twice-differentiable function. Values of $f ^ { \prime }$, the derivative of $f$, at selected values of $x$ are given in the table above. Which of the following statements must be true?
(A) $f$ is increasing for $- 1 \leq x \leq 5$.
(B) The graph of $f$ is concave down for $- 1 < x < 5$.
(C) There exists $c$, where $- 1 < c < 5$, such that $f ^ { \prime } ( c ) = - \frac { 3 } { 2 }$.
(D) There exists $c$, where $- 1 < c < 5$, such that $f ^ { \prime \prime } ( c ) = - \frac { 3 } { 2 }$. 
\begin{center}
\begin{tabular}{ | c | c | c | c | c | c | }
\hline
$x$ & - 1 & 0 & 2 & 4 & 5 \\
\hline
$f ^ { \prime } ( x )$ & 11 & 9 & 8 & 5 & 2 \\
\hline
\end{tabular}
\end{center}

Let $f$ be a twice-differentiable function. Values of $f ^ { \prime }$, the derivative of $f$, at selected values of $x$ are given in the table above. Which of the following statements must be true?\\
(A) $f$ is increasing for $- 1 \leq x \leq 5$.\\
(B) The graph of $f$ is concave down for $- 1 < x < 5$.\\
(C) There exists $c$, where $- 1 < c < 5$, such that $f ^ { \prime } ( c ) = - \frac { 3 } { 2 }$.\\
(D) There exists $c$, where $- 1 < c < 5$, such that $f ^ { \prime \prime } ( c ) = - \frac { 3 } { 2 }$.
Paper Questions
Q1 Q1 (Free-Response) Q2 Q2 (Free-Response) Q3 Q3 (Free-Response) Q4 Q4 (Free-Response) Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22