InterviewSolution
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InterviewSolution
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Let `f(x)` be a continuous function defined for `1 |
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Answer» Correct Answer - C We know that a continuous function defined on a closed interval attains every value between its minimum and maximum values in the interval. Therefore f(x) being continous on [1,3] will attain every value between its maximum (M) and maximum (m) values. It is given that f(x) takes rational values for all x and have there are infinitely many irrational values between m and M. Therefore, f(x) can take rational value for all x, if f(x) has a constant rational value at all points between x=1 and x=3. In each other words, f(x)=constant for all ` x in [1,3]` But f(2)=10 `therefore f(x)=10 "for all "x in[1,3]` `Rightarrow f(4)=10` |
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