| Function | Degree | Leading Coefficient | Left Side Behavior | Right Side Behavior |
|---|---|---|---|---|
| \(f(x)=x^2\) | 2 | Positive | Graph rises to the left. | Graph rises to the right. |
| \(f(x)=-x^2+7\) | 2 | Negative | Graph falls to the left. | Graph falls to the right. |
| \(f(x)=2x^3-4\) | 3 | Positive | Graph falls to the left. | Graph rises to the right. |
| \(f(x)=-4x^5\) | 5 | Negative | Graph rises to the left. | Graph falls to the right. |
| \(f(x)=2x^4-9\) | 4 | Positive | Graph rises to the left. | Graph rises to the right. |
| \(f(x)=-x^6\) | 6 | Negative | Graph falls to the left. | Graph falls to the right. |