Answer
$g(0) = g(2) = g(4) = 0$
$g'(1) = g'(3) = 0$
$g'(0) = g'(4) = 1$
$g'(2) = -1$
$\lim\limits_{x \to \infty}g(x) = \infty$
$\lim\limits_{x \to -\infty}g(x) = -\infty$
Work Step by Step
$g(0) = g(2) = g(4) = 0$
$g'(1) = g'(3) = 0$
The slope at $~~x=1~~$ and $~~x=3~~$ is $~~0$
$g'(0) = g'(4) = 1$
The slope at $~~x=0~~$ and $~~x=4~~$ is $~~1$
$g'(2) = -1$
The slope at $~~x=2~~$ is $~~-1$
$\lim\limits_{x \to \infty}g(x) = \infty$
$\lim\limits_{x \to -\infty}g(x) = -\infty$
