$(22)$ Draw a graph of a single function $f$ which satisfies all of the following conditions:

$f$ is continuous everywhere except at $x=0$ and $x=4.$

$\underset{x4}{lim}f(x)=2.$

$f$ is differentiable everywhere except at $x=0,x=2,$ and $x=4.$

$\underset{x}{lim}f(x)=.$

$\underset{x-}{lim}f(x)=1.$

$f$ is decreasing on $(-,0)(2,4).$

$f$ is increasing on $(0,2)(4,).$

$f$ is concave down on $(,0)(4,).$

$f$ is concave up on $(0,2)(2,4).$