Consider the following function. $($If an answer does not exist, enter DNE.$)$

f$($x$)=1+5/$x $-6/$x$^2$

$$

$($a$)$

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

x $=$

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

y $=$

$($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 f is concave up$.($Enter your answer using interval notation.$)$

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

Find the inflection point.

$($x$,$ y$)=$