Using curve sketching algorithm draw the following graph:

$y=\frac{4x}{x^2+9}$

You can use DESMOS to make sure your graph is correct, but all features of your graph should be justified by your calculations.

$\backslash$table$[[$Intercepts$,$Intervals of increase and decrease$],[$Asymptotes$,$Points of inflection$],[$Domain $($restrictions$),$Intervals of concavity$],[$Max $/$ Min points,$]]$