Answer
We can see a sketch of one possible graph below.
Work Step by Step
$f'(x) \gt 0$ if $x \neq 2$
The graph is increasing on the intervals $(-\infty, 2)\cup (2, \infty)$
$f''(x) \gt 0$ if $x \lt 2$
The graph is concave up on the interval $(-\infty, 2)$
$f''(x) \lt 0$ if $x \gt 2$
The graph is concave down on the interval $(2,\infty)$
$f$ has inflection point $(2,5)$
The graph changes concavity at this point.
$\lim\limits_{x \to \infty}f(x) = 8$
There is a horizontal asymptote at $y=8$
$\lim\limits_{x \to -\infty}f(x) = 0$
There is a horizontal asymptote at $y=0$
We can see a sketch of one possible graph below.
