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| PAGE: 23 | SET: Exercises | PROBLEM: 79 |
Consider 
and 
are the even functions.
From the definitions 
and 
.
Find the addition 
.
.
If 
and 
are the even functions, then the addition is an even function.
Consider and are the odd functions.
From the definitions 
and 
.
Find the addition .
.
If and are the odd functions, then the addition 
is an odd function.
Consider is an even function and is an odd function.
From the definitions 
and 
.
Find the addition .
This is not equal to either 
or 
.
Thus, is neither even nor odd function.
If and are the even functions, then the addition is an even function.
If and are the odd functions, then the addition is an odd function.
If one of the function is even and other is odd, then the addition is neither even nor odd function.
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