Problem 115 of 7
Determine whether x^4-3x^2+1 is even.
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test symmetry or f(-x)=f(x).
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Test symmetry or compute f(-x)=f(x).
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Solution
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1. Compute f(-x).
2. Simplify and compare it to f(x).
3. Confirm the domain is symmetric about 0 before calling the function even.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Classifying by degree alone when shifts or domains change symmetry.