The function is
(a)
\Type of curve and symmetry:
\The equation is in the form of , where
.
The function represents leminiscates.
\Then, Replace is
Substitute in the function.
The function is symmetric.
\(b)
\Maximum -value and zeros.
The equation is undefined but the domain of
and
The graph point of interval is
Then value is
when
.
Then value is
when
.
(c)
\Graph the polar equation.
\Graph the polar equation .
Draw a table considering points in the interval .
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Graph :
\Draw polar coordinate plane.
\Plot the points obtained in the table.
\Graph the polar equation .
Graph of the polar equation is