​The area, AA, of a pigpen on a farm can be modeled by the equation A={}^{-}{2}{}x^{2}+36xA=
−
2x
2
+36x, where xx is the width, in feet, of the pen.

​

Part A

When the equation is graphed in a coordinate plane, the x-x−intercepts are \left(0,0\right)(0,0) and
, which represent a lower bound and an upper bound for the possible values for the
of the pen.