$\backslash [$

f$($x$)=1+\backslash$frac$\{5\}\{$x$\}-\backslash$frac$\{6\}\{$x$^\{2\}\}$

$\backslash ]$

$($a$)$ Find the vertical asymptote$($s$).($Enter your answers as a comma$-$separated list.$)$

$\backslash ($ x$=\backslash )$

Find the horizontal asymptote$($s$).($Enter your answers as a comma$-$separated list.$)$

$\backslash ($ y$=\backslash )$

$($b$)$ Find the interval$($s$)$ of increase. $($Enter your answer using interval notation.$)$

Find the interval$($s$)$ of decrease. $($Enter your answer using interval notation.$)$

$($c$)$ Find the local maximum and minimum values.

local maximum value

local minimum value

$($d$)$ Find the interval$($s$)$ on which $\backslash ($ f $\backslash )$ is concave up$.($Enter your answer using interval notation.$)$

Find the interval$($s$)$ on which $\backslash ($ f $\backslash )$ is concave down. $($Enter your answer using interval notation.$)$