F(X)=X²-2X-3 X∈[0,3] 求值域
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F(X)=X²-2X-3 X∈[0,3] 求值域
F(X)=X²-2X-3 X∈[0,3] 求值域
F(X)=X²-2X-3 X∈[0,3] 求值域
答:
f(x)=x^2-2x-3=(x-1)^2-4
0<=x<=3
-1<=x-1<=2
0<=(x-1)^2<=4
-4<=(x-1)^2-4<=0
所以:-4<=f(x)<=0
所以:值域为[-4,0]