作业帮求f(x)=4^(x-1/2)-3*2^x+5的值域 x:[0,2]
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求f(x)=4^(x-1/2)-3*2^x+5的值域 x:[0,2]
求f(x)=4^(x-1/2)-3*2^x+5的值域 x:[0,2]
求f(x)=4^(x-1/2)-3*2^x+5的值域 x:[0,2]
f(x)=4^(x-1/2)-3*2^x+5
= 4^x/2-3*2^x+5
=((2^x)^2-6*2^x+9)/2+1/2
=(2^x-3)^2/2+1/2
2^x=3时,f(x)最小=1/2
x=0,2^x=1时,f(x)最大=5/2
值域：[1/2,5/2]
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