Determine whether each of the following rational functions is even, odd, or neither.

Choose Even Odd Neither  1. $\displaystyle \frac{1}{x^2 + 9x^6}$

Choose Even Odd Neither  2. $\displaystyle \frac{x^3}{7x^2 + 1}$

Choose Even Odd Neither  3. $\displaystyle \frac{x^3+4x^2}{7x^2 + 1}$

Choose Even Odd Neither  4. $\displaystyle \frac{2x^4+8x^3}{x^3+4x^2}$

Choose Even Odd Neither  5. $\displaystyle \frac{1}{x^2} - \frac{5}{x^8}$

Choose Even Odd Neither  6. $\displaystyle \frac{4x^3+2x}{7x^4}$

Choose Even Odd Neither  7. $\displaystyle \frac{2x^3+8x^2}{x^3+4x^2}$

Choose Even Odd Neither  8. $\displaystyle \frac{4x^3+2x}{7x^5 + 3x^3}$