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?

A) f(a) $$ \cdot $$ f(b) = 0 B) f(a) $$ \cdot $$ f(b) < 0 C) f(a) $$ \cdot $$ f(b) > 0 D) $$\frac{{{\text{f}}\left( {\text{a}} \right)}}{{{\text{f}}\left( {\text{b}} \right)}} \leqslant 0$$

Answer & Solution

Correct Answer: Option C

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If a continuous function f(x) does not have a root in...

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?

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