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Let f : R → R be a function defined as f(x) = ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ ≥ < ≤ + < < + ≤ 5 x if , 30 5 x 3 if , x 5 b 3 x 1 if , bx a 1 x if , 5 Then, f is

1. continuous if a = 0 and b = 5
2. continuous if a = –5 and b = 10
3. continuous if a = 5 and b = 5
4. not continuous for any values of a and b

Correct answer: not continuous for any values of a and b

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