In Problems 37-48, determine algebraically whether each function is even, odd, or neither.
47.
Check whether the function is even, odd or neither.
Answer to Problem 43AYU
The given function is an odd function.
Explanation of Solution
By the definition of odd and even function,
“A function is even if, for every number in its domain, the number is also in the domain and ” and
“A function is odd if, for every number in its domain, the number is also in the domain and ”.
Calculation:
Consider the function,
Replace by ,
From the statement, it can be concluded that the given function is an odd function.
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