Sketch the graph of a single function y$=$f$($x$)$ below such that

$($a$)\backslash$lim$\_($x$->+-\backslash$infty $)$f$($x$)=2$

$($b$)$ f$($x$)$ has a VA at x$=1$

$($c$)$ differentiable everywhere except at x$=+-1$

$($d$)$ continuous everywhere except x$=1$

$($e$)$ increasing on $(-1,1)\backslash$cup $(1,\backslash$infty $),$ decreasing on $(-\backslash$infty $,-1)$

$($f$)$ concave down $(-\backslash$infty $,-1)\backslash$cup $(1,\backslash$infty $)$ concave up $(-1,1).$