The function is .
Graph the function is : \ \
Observe the above graph :
\The function is symmetric with respect to the y - axis.
\So, the given function is an even function.
Confirm algebraically : \ \
\If then function
is an even and if
then function
is an odd.
The function is .
\ \
Substitute in
.
.
The function is even by the algebraically.
The function is an even function.