Let f : [1, 10] → Q be a continuous function and f(1) = 10, then f(10) is equal to:

$\frac{1}{10}$ 10 1 Can’t be obtained

10

Using the intermediate value theorem of continuous function we get f(x) is a constant function, therefore ∀ x ∈ [1, 10], f(10) = 10. Hence (2) is the correct answer.