$\"\"$

(a)

The volume of the sphere is $\"\"$ .

All possible values of $\"\"$ is domain of $\"\"$ .

Volume must be positive.

$\"\"$

Multiply each side by $\"\"$ .

$\"\"$

Divide each side by $\"\"$ .

$\"\"$

Divide each side by $\"\"$ .

$\"\"$

Take the cube root on each side.

$\"\"$ .

Thus, the domain set is $\"\"$ and the range set is $\"\"$ .

$\"\"$

(b)

The function is $\"\"$ .

Consider $\"\"$ .

Make the table of values to find ordered pairs that satisfy the equation.

Choose values for $\"\"$ and find the corresponding values for $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$

Use the graphing utility to graph the function $\"\"$ .

Graph :

1. Draw a coordinate plane.

2. Plot the coordinate points.

3.Then sketch the graph, connecting the points with a smooth curve.

Graph the function :

$\"\"$

Since the volume and radius both have to be greater than or equals to zero, the only meaningful part of the graph is in the first quadrant(upper part), where both variables are positive.

$\"\"$

(a) The domain set is $\"\"$ and the range set is $\"\"$ .

(b) Graph of $\"\"$ is :

$\"\"$ .