$8.$ Shown is the graph of a function $\backslash ($ f $\backslash ).$

a$.(8$ points$)$ On a separate set of axes, sketch a graph of $\backslash ($ F $\backslash ),$ an antiderivative to $\backslash ($ f $\backslash ),$ such that $\backslash ($ F$(0)=0\backslash ).$ Label the $\backslash ($ x $\backslash )-$values $\backslash ($ a $\backslash )$ through $\backslash ($ g $\backslash )$ on your graph.

b$.(8$ points$)$ Sketch a graph of $\backslash ($ f$^\{\backslash$prime$\}\backslash )$ on a separate set of axes. Label the $\backslash ($ x $\backslash )-$values $\backslash ($ a $\backslash )$ through $\backslash ($ g $\backslash )$ on your graph.