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Question

A strictly increasing function defined on [ a, b ] will have its global maximum at x =b..


A

True

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B

Flase

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Solution

The correct option is A

True


We know that strictly increasing function always increases. Let's look at the graph -

It is obvious from the graph that it’ll have the maximum value at the point where it is ending. In the interval of [a,b] it’ll have the maximum value at x = b. The point which has greatest value in the interval is called as global maximum so x = b will be the global maximum.


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