Consider the following function $f(t)$ and its first and second derivatives:

$f(t)=\frac{t^3}{t^2-5},f^{\text{'}}(t)=\frac{t^2(t^2-15)}{(t^2-5{)}^2},f^{\text{'}\text{'}}(t)=\frac{10t(t^2+15)}{(t^2-5{)}^3}$

$($a$)$ Give the domain of $f.$

$($b$)$ Determine the intervals of increase and decrease of $f.$

$($c$)$ Determine the intervals where $f$ is concave up or concave down. Consider the function f$($x$)=($x$^(2)-4)/(|$x$-2|).$ Complete the table with the appropriate values for f$($x$).$ Round to four decimal places where needed. help $($numbers$)$ n table$[[$x $,$f$($x$),$x $,$f$($x$)$ Consider the function f$($x$)=$x$^2-4/|$x$-2|.$ Complete the table with the appropriate values for f$($x$).$ Round to four decimal places where needed. help $($numbers$)$