Given: y$=(5$x$^3-2)/($x$^2-9).$ a$)$ Find the VA by using limits$.$ Show sign analysis. b$)$ Find The HA by using limits$.$ Show all steps in finding the limits$.$ c$)$ Find the SA $.$ Show the long division and other steps. d$)$ Find the domain. Use interval notation to state your answer. c$)$ State the range. Use interval notation to state your answer. f$)$ Find the $\backslash ($ x $\backslash )-,\backslash ($ y $\backslash )-$intercepts. Show your work. c$)$ Check for symmetries. d$)$ Find the first derivative. State the extreme points. e$)$ State the increasing$/$decreasing intervals. f$)$ Find the second derivative. State the inflection points. g$)$ State the concavity intervals. h$)$ Graph the function