The function is .
Graph the function :
Observe the graph :
\The function is neither even nor odd because the function has no symmetry.
\ \Algebraic conformation :
\The function .
Since , the function is not even.
\
Since , the function is not odd.
Description for symmetry :
\The function .
Rewrite the function as .
Test algebraically symmetric with respect to the - axis.
Substitute for
in
.
Because is not equivalent to
, the function is not symmetric with respect to the
-axis.
\
Test algebraically symmetric with respect to the -axis.
Substitute for
in
.
Because is not equivalent to
, the function is not symmetric with respect to the
-axis.
\
Test algebraically symmetric with respect to the origin.
\Substitute for
and
for
in
.
Because is not equivalent to
, the function is not symmetric with respect to the origin.
Graph of the function :
The function is neither even nor odd because the function has no symmetry.