Checkpoint 2

For each of the following functions, decide whether the function is even, odd, or neither. For each case, give an example of appropriate functions f and g, and check that your answer is right for your example.

1. ${\displaystyle f\text{(}x\text{)}+g\text{(}x\text{)}}$, where f and g are both even

2. ${\displaystyle f\text{(}x\text{)}g\text{(}x\text{)}}$, where f and g are both odd

3. ${\displaystyle f\text{(}x\text{)}+g\text{(}x\text{)}}$, where f is even and g is odd

4. ${\displaystyle f\text{(}x\text{)}g\text{(}x\text{)}}$, where f is even and g is odd