Sketch the graph based on critical values and inflection points $($Q$1)$

Given the information about the function and its derivatives in the table below, use the pencil or line tool to sketch the function on the left. The known $\backslash (($x$,$ f$($x$))\backslash )$ points have been graphed for you already.

Your sketch will be shown on the next slide alongside the key

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|\}$

$\backslash$hline$\backslash ($ x $\backslash )$ & $\backslash ($ f$($x$)\backslash )$ & $\backslash ($ f$($x$)\backslash )$ & $\backslash ($ f$^\{\backslash$prime$\}($x$)\backslash )\backslash \backslash$

$\backslash$hline$-4$ & $0$ & $-$ & $+\backslash \backslash$

$\backslash$hline$-3$ & $-27$ & $0$ & $+\backslash \backslash$

$\backslash$hline$-2$ & $-16$ & $+$ & $0\backslash \backslash$

$\backslash$hline$-1$ & $\backslash (?\backslash )$ & $+$ & $-\backslash \backslash$

$\backslash$hline $0$ & $0$ & $0$ & $0\backslash \backslash$

$\backslash$hline $1$ & $\backslash (?\backslash )$ & $+$ & $+\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$