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Question

The function f (x) = x3 – 8 on [1, 2] is


A

decreasing

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B

neither increasing or decreasing

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C

strictly decreasing

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D

increasing

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Solution

The correct option is D

increasing


() = 3 – 8 Þ ¢() = 32

Clearly, ¢ () > 0 for all Î [1, 2]. So () is increasing on [1, 2]

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