Mathematics
Senior High
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2.下圖是多項式函數y=f(x)與y=g(x)在區間[2,2]之圖形,圖中1<x<2,-2<x><-1,
0<x<1,-2<x<-1。試問下列哪些選項正確?
(1)在區間[2,2]中,若方程式 f(x)=k有3個相異實根,則-1≤k≤1
(2)degf(x)=3
(3)g(x)的領導係數必為正數
(4)在區間[−2,2]中,方程式 f(g(x))=0恰有6個實根
(5)在區間[−2,2]中,方程式g(f(x))=0恰有4個實根
y
y = f(x)的圖形
2
01
5
-1
#1
2
v=g(x)的圖形
73
1
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