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Example Questions
Example Question #71 : Graphs
Consider the function .
Is an even function, an odd function, or neither?
Possible Answers:
Odd
Neither
Even
Correct answer:
Even
Explanation:
A function is even if, for each in its domain,
.
It is odd if, for each in its domain,
.
Substitute for in the definition:
Since , is an even function.
Example Question #72 : Graphs
is an even function. Let .
Is an even function, an odd function, or neither?
Possible Answers:
Odd
Neither
Even
Correct answer:
Odd
Explanation:
A function is even if, for each in its domain,
.
It is odd if, for each in its domain,
.
Substitute for in the definition of :
Since is even, , so
This makes an odd function.
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