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| PAGE: 33 | SET: Exercises | PROBLEM: 67 |
The function is 
.
Graph :
Graph the function :
Observe the graph:
The function is even, because the graph is symmetric with respect to the 
-axis.
Algebraic conformation :
The function is .
Since 
, the function is an even function.
Since 
, the function is not an odd function.
Description for symmetry :
The function is .
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 equivalent to , the function is 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 an even function.
The function is symmetric with respect to the -axis.
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