$(10$ pts$)$ For each problem below, draw the graph of a continuous function which has the desired properties:

$($a$)-$ Two inflections points

Relative max at $x=3$

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

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

$($b$)-x-$intercept at $x=0$

Inflection point at $(2,1)$

No relative extrema

$\underset{?}{lim}g(x)=-4$