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2024年8月B卷 · 第 21 题

2024年8月B卷 · 原库模块 2 · Q21 原库参考解析

\( f\left(x\right)=4\left(x-a\right)\left(x-b\right)\left(x-c\right) \) 
The function \( f \)  is defined by the given equation, where a, b, and c are distinct constants. When\( a<x<b \), the value of \( f\left(x\right) \) is positive. The graph of \( y=f\left(x\right) \) in the xy-plane contains the point \( \left(r,\ s\right) \), where r and s are constants. If \( s=3 \), which of the following could be true?

Ⅰ.\( r<a \) 
Ⅱ.\( b<r<c \) 
Ⅲ.\( r>c \) 

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