Answer
Answers may vary.
Please see the graph for one possible answer.
Work Step by Step
Intercepts: $(-7,0)$, $(-.5,0)$, $(4,0)$, $(0,-1)$
$x=-7$
$x+7=-7+7$
$x+7=0$
$x=-.5$
$x+.5=-.5+.5$
$x+.5=0$
$x=4$
$x-4=4-4$
$x-4=0$
$(x+7)(x+.5)(x-4)$
$(x+7)(x-4)(x+.5)$
$(x*x+x*-4+7*x+7*-4)(x+.5)$
$(x^2-4x+7x-28)(x+.5)$
$x^2*x+.5*x^2+(-4x)*x+(-4)*.5+7x*x+7x*.5+(-28)(x)+(-28)(.5)$
$x^3+.5x^2-4x^2-2+7x^2+3.5x-28x-14$
$x^3+(.5x^2-4x^2+7x^2)+(3.5x-28x)-14-2$
$x^3+3.5x^2-24.5x-16$
The resulting function will have some parts of this expression.
