$\"\"$

The function is $\"\"$ , $\"\"$ .

Type of curve and symmetry:

The equation is in the form of $\"\"$ , where $\"\"$ and $\"\"$ .

The function represents spiral of Archimedes.

The function has no symmetry.

Spirals are unbounded.

Therefore, the function has no maximum $\"\"$ -values and only one zero.

Find the zero, by substituting $\"\"$ into the function and solve for $\"\"$ .

$\"\"$

$\"\"$ .

Draw a table considering points in the interval $\"\"$ .

\ \

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

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

$\"\"$

Graph :

Draw a polar coordinate plane.

Plot the points obtained in the table.

Graph the polar equation $\"\"$ .

$\"\"$

Graph of the polar equation $\"\"$ :

$\"\"$

The function represents spiral of Archimedes.