Answer
(a) See graph .
(b) domain $(-\infty,\infty)$, range $(-\infty,0]$.
(c) increasing on $(-\infty,\frac{5}{2})$ and decreasing on $(\frac{5}{2},\infty)$.
Work Step by Step
(a) See graph for $F(x)=-4x^2+20x-25=-(2x-5)^2$ with vertex $(\frac{5}{2},0)$ and intercept $(\frac{5}{2},0),(0,-25)$.
(b) We can determine the domain as $(-\infty,\infty)$ and the range as $(-\infty,0]$.
(c) We can determine the function is increasing on $(-\infty,\frac{5}{2})$ and decreasing on $(\frac{5}{2},\infty)$.
