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f(x)=sin(x)cos(x)+cos(x)sin(x)
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Solution
Period:π
Domain:πn<x<π2+πnorπ2+πn<x<π+πn
Range:f(x)≤−2orf(x)≥2
Intercepts:Nenhum
Asymptotes:Verticalx=π2+πn,x=πn
ExtremePoints:Mínimo(π4+πn,2),Máximo(3π4+πn,−2)
+1
Interval Notation
Domain:(πn,π2+πn)∪(π2+πn,π+πn)
Range:(−∞,−2]∪[2,∞)
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Periodicidade de sin(x)cos(x)+cos(x)sin(x):π
Domínio de sin(x)cos(x)+cos(x)sin(x):πn<x<π2+πnorπ2+πn<x<π+πn
Imagem de sin(x)cos(x)+cos(x)sin(x):f(x)≤−2orf(x)≥2
Pontos de intersecção com o eixo de sin(x)cos(x)+cos(x)sin(x):Nenhum
Assíntotas de sin(x)cos(x)+cos(x)sin(x):Vertical:x=π2+πn,x=πn
Pontos extremos de sin(x)cos(x)+cos(x)sin(x):Mínimo(π4+πn,2),Máximo(3π4+πn,−2)
