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Let f(x) = ⎩ ⎨ ⎧ ≤ < − ≤ 4 | x | 2 | x | 2 8 2 | x | } x |, x max{| 2 Let S be the set of points in the interval (– 4, 4) at which f is not differentiable. Then S

1. equals {– 2, – 1, 1, 2}
2. equals {– 2, – 1, 0, 1, 2}
3. equals {– 2, 2}
4. is an empty set

Correct answer: equals {– 2, – 1, 0, 1, 2}

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