QuestionWhich of the following functions exhibits even symmetry?
Studdy Solution
STEP 1
1. A function is even if for all in the domain of .
2. We will check each function individually for even symmetry.
STEP 2
1. Check if for .
2. Check if for .
3. Check if for .
4. Check if for .
5. Check if for .
STEP 3
Consider the function .
Calculate :
Compare and :
Therefore, is not even.
STEP 4
Consider the function .
Calculate :
Compare and :
Therefore, is not even.
STEP 5
Consider the function .
Calculate :
Compare and :
Therefore, is not even.
STEP 6
Consider the function .
Calculate :
Compare and :
Therefore, is not even.
STEP 7
Consider the function .
Calculate :
Compare and :
Therefore, is even.
The function that exhibits even symmetry is .
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