Let $f(x) = x^2 + 4 x + 3$ and $g(x) = x^2 + 1$. In each of the parts below, if there is more than one answer, enter all answers as a comma separated list. If there is no answer, enter NONE. If you need to enter $\infty$ or $- \infty$, type INFINITY or -INFINITY.

(a) What are the zeros, if any, of $f$? $\ x =$ help (numbers)

(b) What are the zeros, if any, of $g$? $\ x =$ help (numbers)

(c) Let $m(x) = f(x)/g(x)$. Using your calculator, find a good window to graph $m(x)$.
What are the zeros, if any, of $m$? $\ x =$ help (numbers)
What are the vertical asymptotes, if any, of $m$? $\ x =$ help (numbers)
What is its long-run behavior as $x \rightarrow \pm \infty$? $m(x) \to$ help (numbers)

(d) Let $n(x) = g(x)/f(x)$. Using your calculator, find a good window to graph $n(x)$.
What are the zeros, if any, of $n$? $\ x =$ help (numbers)
What are the vertical asymptotes, if any, of $n$? $\ x =$ help (numbers)
What is its long-run behavior as $x \rightarrow \pm \infty$? $n(x) \to$ help (numbers)