Sketch a graph that satisfies the given specifications for the domain $-3,3.$ The function does not have to be continuous or differentiable. Use a sign diagram before sketching.

a$.$

$g.$

$f^{\text{'}}(x)>0$ for $x>2,-3f(x)>0$

$f^{\text{'}}(x)>0$ for $x>1,-3$

$b.$

$g.$

$f^{\text{'}}(x)>0$ for $x>2,-3$