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# Let f be continuous function on [1,3]. If f takes only rational values for all x and f(2) = 10 then find the value of f(1.5)

Given $f$ is continuous and $f(x)$ is rational no.$\forall \in [ 1, 3 ]$ and $f(2) = 10. \Rightarrow f$ is a constant function in this interval.
Ans : $f(1.5)=10$

edited Mar 26, 2013