#### Answer

Concave upward on
$$
(2, \infty).
$$
Concave downward on
$$
(-\infty, 2).
$$
The graph has no inflection points

#### Work Step by Step

Since the graph of the function lies above its tangent line at each point of $(2, \infty)$ .
So, concave upward on
$$
(2, \infty).
$$
Since the graph of the function lies below its tangent line at each point of $(-\infty, 2)$ .
So, concave downward on
$$
(-\infty, 2).
$$
Since a point where a graph changes concavity is inflection points, therefore the graph has no inflection points