已知函数f(x)=sinπx-cosπx+2(1/4≤x≤5/4),求f(x)的值域
1个回答
化简得f(x)=√2sin(πx-π/4)+2,
0≤πx-π/4≤π
所以值域是(2,2+√2)是闭区间
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