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Odd/Even Functions The function is odd or even depending on whether the degree, the highest power, is odd or even. Example 1:
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The graph is going to pass through at zero and bounce at three. It is going to start down and go up.
Example 2:
| Equation | Degree | Odd/Even | +/- Coefficient | End Behavior |
| 4 | Even | + | Up-Up |
The graph is going to pass through at zero, bounce at three, and pass through at negative four. It's going to start up and go up.
Example 3:
| Equation | Degree | Odd/Even | +/- Coefficient | End Behavior |
| 5 | Odd | - | Up-Down |
The graph is going to pass through at zero, pass through at negative one, and bounce at negative three. It's going to start up and go down.
Example 4:
| Equation | Degree | Odd/Even | +/- Coefficient | End Behavior |
| 5 | Odd | - | Up-Down |
The graph is going to pass through at two and bounce at negative four. It's going to start up and go down.
Example 5:
| Equation | Degree | Odd/Even | +/- Coefficient | End Behavior |
| 4 | Even | - | Down-Down |
The graph is going to bounce at zero and bounce at three. It's going to start down and go down.
Example 6:
| Equation | Degree | Odd/Even | +/- Coefficient | End Behavior |
| 6 | Even | + | Up-Up |
The graph is going to bounce at negative two, pass through at three, and pass through at negative one.
If the graph goes Down-Up or Up-Down the function is odd, but if the graph goes Up-Up or Down-Down the function is even.
