$\"\"$

The condition are :

$\"\"$ and $\"\"$ for all $\"\"$ .

I/D test :

If $\"\"$ on the interval, then $\"\"$ is increasing on the interval.

If $\"\"$ on the interval, then $\"\"$ is decreasing on the interval.

Concavity test :

If $\"\"$ for all $\"\"$ in the interval, then the graph of $\"\"$ is concave upward on the interval.

If $\"\"$ for all $\"\"$ in the interval, then the graph of $\"\"$ is concave downward on the interval.

Graph :

Graph the function such that all the conditions are satisfied :

Using above tests,

$\"\"$ represents that $\"\"$ is decreasing for all vales of $\"\"$ .

$\"\"$ represents that $\"\"$ is concave downward for all vales of $\"\"$ .

$\"\"$

Graph the function is drawn such that all the conditions are satisfied is

$\"\"$