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Q. If $f\left(x\right)$ be a continuous function defined for $1\leq x\leq 3,f\left(x\right)\in Q,\forall x\in \left[1 , 3\right],f\left(2\right)=10$ , then the value of $f\left(1 . 8\right)$ is
(where $Q$ is a set of all rational numbers).

NTA AbhyasNTA Abhyas 2022

Solution:

$\therefore f\left(x\right)\in Q=f\left(x\right)$ is constant function
$\therefore f\left(2\right)=10$
$\Rightarrow \quad f(1.8)=10$