Question 21: Find all real values of parameter m so that the function \(y=\left|x^{3}-3 x^{2}+m\right|\) has 5 extreme points.
We have \(y=x^{3}-3 x^{2}+m \text { yes } y^{\prime}=3 x^{2}-6 x ; y^{\prime}=0 \Leftrightarrow \left[\begin{array}{l}x=0\\x=2\end{array}\Rightarrowy(0)=my(2)=m-4\right\)
Requires a topic equivalent to \(y(0) \cdot y(2) \geq 0 \Leftrightarrow m(m-4)<0 \Leftrightarrow 0
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