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If a continuous function $f(x)$ does not have a root in the interval $[a, b]$, then which one of the following statements is TRUE?

  1. $f(a) . f(b)=0$
  2. $f(a) . f(b) < 0$
  3. $f(a) . f(b) > 0$
  4. $f(a) / f(b) \leq 0$
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