\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Below is the graph of a function $f$
whose domain is $[-3,4]$. The graph is made of straight line segments,
except for that part of the graph between $-2$ and $0$ which is a
quarter circle centered at $(0,1)$.

\medskip

\centerline{\epsfxsize=3.5in\epsfbox{w2B.eps}}

\medskip

\noindent Suppose $F$ is defined by
$F(x)=\displaystyle\int_{0\vphantom{j_{J_J}}}^x f(t)\,dt\, .$ Sketch
the graph of $F$ as well as possible. Where are the $x$-intercepts of
$F$?  Where is $F$ continuous? Where is $F$ differentiable? Where is
$F$ increasing?  decreasing? Concave up? Concave down? Relate all
these answers to the graph of $f$.

\vfil\eject\end

