The function is 
(a) Type of curve and symmetry:
\The equation is in the form of
, where
and
.
The function represents leminiscate.
\Then, Replace
is 
Substitute
in the function.

The function is symmetric.
\(b)Maximum
-value and zeros.
The equation
is undefined But the domain of 
The graph point of interval is 
Therefore the function has maximum point.
\Then
value is
when
.
(c) Graph the polar equation.
\Graph the polar equation
.
Draw a table considering points in the interval
.
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
Graph :
\Draw polar coordinate plane.
\Plot the points obtained in the table.
\Graph the polar equation
.
.gif\")
Graph of the polar equation
is
.gif\")