Answer
a. minimum $f(-3)=685$
b. domain $(-\infty,\infty)$ and range $[685,\infty)$
Work Step by Step
a. Given
$f(x)=2x^2+12x+703=2(x^2+6x+9)-18+703=2(x+3)^2+685$
we can find a minimum at $x=-3$ with $f(-3)=685$
b. We can identify the domain as $(-\infty,\infty)$ and range as $[685,\infty)$
