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

Option: 1

\frac{1}{10}


Option: 2

10


Option: 3

1


Option: 4

Can't be obtained


Answers (1)

best_answer

Using the intermediate value theorem of continuous function we get f(x) is a constant function, therefore \forall x \in[1,10], f(10)=10.

Hence (B) is the correct answer.

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chirag

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