\input epsf
\nopagenumbers
\magnification=\magstep1


\noindent {\bf Problem statement} Suppose that $A$, $B$, $C$, and $D$
are constants and $f$ is the cubic polynomial $f(x) = Ax^3 + Bx^2 + Cx
+ D.$ Suppose also that the tangent line to $y = f(x)$ at $x = 0$ is
$y = x$ and the tangent line at $x = 2$ is given by $y = 2x - 3$.
Find the values of $A$, $B$, $C$, and $D$. Then sketch the graph of $y
= f(x)$ and the two tangent lines for $-2\le x\le 4$.

%following a problem of  Michael O'Nan

\vfil\eject\end

