Problem Set 3

Determine if each function below is even, odd or neither.

1. x⁴ + 6x² + 1 even

2. x cos(x) + x³ odd*even + odd = odd + odd = odd

3. 1/x odd

4. 3x + 9 neither (3x is odd but 9 is even)

5. sin(x²) even ( sin((-x)² = sin(x²) )

6. x³ + 1 neither (odd + even)

7. sin³(x) odd³ = odd*odd*odd = odd

8. sin²(x²) + x² + 1 even