Answer
The curve has a slope of$ −1 $ as we pass
over $x$ = $2$. Two of the many possibilities.
Work Step by Step
We begin by drawing a curve through the origin with a
slope of $3$ to satisfy $f(0)$ = $0$ and $f'(0)$ =$3$
. Since
$f'(1)$ =$ 0$, we will round off our figure so that there is
a horizontal tangent directly over$ x$ = 1. Last, we
make sure that the curve has a slope of$ −1 $ as we pass
over $x$ = $2$. Two of the many possibilities.