| Interval | Sign of f\(^{\prime \prime}\) | Conclusion |
|---|---|---|
| \(( -\infty ,-2)\) | negative | \(f\) is concave down on the interval \(( -\infty ,-2)\) |
| (–2,0) | positive | \(f\) is concave up on the interval \(( -2,0)\) |
| \(( 0,\infty )\) | negative | \(f\) is concave down on the interval \(( 0,\infty )\) |