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Test whether the function f(x)=x^3-8 is ...

Test whether the function `f(x)=x^3-8` is increasing on `[1,\ 2]` .

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Given,`f(x)=x^3-8`
`f'(x)=3x^2`
or `3x^2`>0` for all x in [1,2]
So f(x) is increasing on [1, 2]
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