\
The function
have the property that
for all real numbers
and
.
(a)
\Consider
.

Thus, the function
have the given property.
(b)
\Consider
.

Thus, the function
does not have the given property.
(c)
\Consider
.

Thus, the function
does not have the given property.
(d)
\Consider
.

Thus, the function
does not have the given property.
Only the function
have the given property.