Using the following graph, where is $f$ continuous? Your answer needs to be in interval notation.

Let $g(x)=\{\begin{array}{ccc}{x}^2& if& x<mn>0</mn>\\ sin(x)& if& x0\end{array}.$ Is g continuous at $x=0?$ Why or why not? Use the calculus definition of continuity.

Let $h(x)=\{\begin{array}{ccc}{x}^2& if& x<mn>0</mn>\\ cos(x)& if& x0\end{array}.$ Is h continuous at $x=0?$ Why or why not? Use the calculus definition of continuity.

Show that there is at least one solution to $w^2-4ln(5w2)=0.$ Use IVT. Do not find the actual solution$($s$).$