\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Suppose that $y=f(x)$ is a
continuous function defined on the interval from $x=0$ to $x=E$. Below
is a graph of $f'(x)$, the derivative of $f(x)$, which is defined at
all points of $[0,E]$ except at $x=C$.

\medskip

\centerline{\epsfxsize=3.75in\epsfbox{w3N.eps}}
\smallskip
\centerline{A graph of $f'(x)$, where it is defined}
\medskip

\noindent a) Where is $f(x)$ increasing? Where is $f(x)$ decreasing?
Where does $f(x)$ have local extreme values (for $0<x<E$)?

\medskip

\noindent b) Where is $f(x)$ concave up? Where is $f(x)$ concave down?
Where does $f(x)$ have inflection points?

\medskip

\noindent c) Draw a possible graph of $f(x)$ which uses all
information given and deduced about $f(x)$.







\vfil\eject\end

