Question 38: The function (y=x^3-3x^2) is inverse on which of the following intervals

Question 38: The function \(y=x^3-3x^2\) is inverse on which of the following intervals

A. \((-1;1)\)

B. \((-\infty;-1)\)

C. \((0;2)\)

D. \((2;+\infty)\)

TXĐ:\(D=\mathbb{R}\)

Then \(y’=3x^2-6x\)

\(y’=0\Leftrightarrow3x^2-6x=0\)

\(\Leftrightarrow \left[\begin{array}{l}x=0\Rightarrowf(0)=0\\x=2\Rightarrowf(0)=-4\end{array}\right\)

The variation table of the function has the form

Relying on the table of variation of the above inverse function (0,2)

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