(a)

The function $\"\"$ is increasing for the value of $\"\"$ between $\"\"$ to $\"\"$ and $\"\"$ to $\"\"$ .

Hence the function $\"\"$ is increasing over the interval $\"\"$ and $\"\"$ .

(b)

The function $\"\"$ is decreasing for the value of $\"\"$ between $\"\"$ to $\"\"$ and $\"\"$ to $\"\"$ .

Hence the function $\"\"$ is decreasing over the interval $\"\"$ and $\"\"$ .

(c)

Concave upward :

A graph is said to be concave up at a point, if the tangent line to the graph of the curve lies below the graph of the curve at that point.

The function $\"\"$ is concave upward over the interval $\"\"$ .

(d)

Concave downward :

A graph is said to be concave down at a point, if the tangent line to the graph of the curve lies above the graph of the curve at that point.

The function $\"\"$ is concave downward over the interval $\"\"$ and $\"\"$ .

(e)

Point of inflection :

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

Observe the graph.

The point of inflection occur at $\"\"$ .

(a) The function $\"\"$ is increasing over the interval $\"\"$ and $\"\"$ .

(b) The function $\"\"$ is decreasing over the interval $\"\"$ and $\"\"$ .

(d) The function $\"\"$ is concave downward over the interval $\"\"$ and $\"\"$ .

(e) The point of inflection occur at $\"\"$ .