Determine whether each of the following rational functions i

Determine whether each of the following rational functions is even, odd or neither. Odd 1. x^3/7x^2 + 1 Even 2. 4x^2 + 1/7x^8 + 3x62 Even 3. 1/x^2 - 5/x^8 Even 4. 1/x^2 + 9x^6 Odd 5. 4x^2 + 2x/7x^5 + 3x^3 Neither 6. 2x^3 + 8x^2/x^3 + 4x^2 Even 7. x^3 + 4x^2/7x^2 + 1 Neither 8.4x^3 + 2x/7x^4

Solution

1. ODD

2. Even

3. Even

4. Even

5. Even

6. Neither

7. Neither

8. Odd

The fuction is odd if f(x) =-f(-x) and function is even if f(x) = f(-x)