For an unspecified function $\backslash (\backslash$mathbf$\{$f$\}\backslash )$ with continuous first and second derivatives, you are given the following information:

$```$

$|$ julia$>$ sign$\_$chart$($f$,-5,5)$

$|($zero$\_$oo$\_$Nall $=-1\mathrm{.}587401051968199,$ sign$\_$change $="+$ to $-")$

$|$

$|$ julia$>$ sign$\_$chart$($f$\text{'},-5,5)$

$|($zero$\_$oo$\_$NaN $=-1\mathrm{.}0,$ sign$\_$change $="\_$ to $+")$

$|($zero$\_\%\_$NaN $=2\mathrm{.}0,$ sign$\_$change $=\text{'}+$ to $+")$

$|$

$|$ julia$>$ sign$\_$chart$($f$\text{'},,-5,5)$

$|($zero$\_$oo$\_$Nall $=-0\mathrm{.}449489742783178,$ sign$\_$change $="+$ to $-")$

$|($zero$\_\%$o$\_$NaN $=2\mathrm{.}0,$ sign$\_$change $=\text{'}\_$ to $+")$

$|($zero$\_$oo$\_$Nall $=4\mathrm{.}449489742783179,$ sign$\_$change $="+$ to $-")$

$```$

$($e$)$ Is f positive at $\backslash (\backslash$mathrm$\{$x$\}=1\backslash )?$yesno

$($f$)$ Is $\backslash ($ f $\backslash )$ increasing at $\backslash ($ x$=1\backslash )?$yesno

$($g$)$ Is f concave up at $\backslash ($ x$=1\backslash )?$yesno

$($h$)$ Identify any inflection points of $\backslash (\backslash$mathbf$\{$f$\}\backslash )$