(a)

Determine where $\"\"$ is increasing or decreasing using Increasing/decreasing test.

Increasing / decreasing test :

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

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

(b)

Determine where $\"\"$ is concave upward or concave downward using concavity test.

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.

(c)

Determine inflection points.

Inflection points are the points at which the curve changes where the concavity changes from up to down or down to up.

The inflection points occurs at the graph changes its concavity.

(a) Increasing / decreasing test.

(b) Concavity test.