(3).
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There are no points at which f " (x) = 0, but at x = ± 2 the function f is not continuous, so test for concavity in the intervals (- ∞, - 2), (- 2, 2) and (2, ∞) as shown in the table.
\Test intervals x - Value Sign of f " (x) Conclusion
\(- ∞, - 2) x = - 3 f " (- 3) > 0 Concave upward
\(- 2, 2) x = 0 f " (0) < 0 Concave downward
\(2, ∞) x = 3 f " (3) > 0 Concave upward
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