QuestionF24 HW9 70\% mathmatize.com
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The following table gives values of the differentiable function $y=f(x)$. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline$x$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline$y$ & 3 & 5 & 4 & -2 & 1 & 2 & 1 & -2 & -3 & -4 & -7 \\ \hline \end{tabular}
Estimate the $x$-values of critical points of $f(x)$ on the interval $0<x<10$. Classify each critical point as a local maximum, local minimum, or neither.
Critical points (in ascending order) and its classifications are as follows: (1) the critical point is at $x=$ $\square$ and it is $\square$ (2) the critical point is at $x=$ $\square$ and it is $\square$ (3) the critical point is at $x=$ $\square$ and it is $\square$ Now assume that the table gives values of the continuous function $y=f^{\prime}(x)$ (instead of $f(x)$ ). Estimate and classify critical points of the function $f(x)$.
Critical points (in ascending order) and its classifications are as follows: (1) the critical point is at $x=$ $\square$ and it is $\square$ (2) the critical point is at $x=$ $\square$ and it is $\square$ (3) the critical point is at $x=$ $\square$ and it is $\square$