Given the function f$($x$)=4$ x$/($x$^2+1)$

Find the domain:

Find the x$-$intercept$($s$)$:

Find the y$-$intercept:

Find any vertical asymptotes:

Find any Horizontal asymptotes:

Find where the function is increasing and decreasing:

Find any max and mins:

Find when the function is concave up and concave down:

Find any points of inflection:

Take all of your information and maybe a few points and draw the graph of f$($x$)$: