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f(x)=tan4(x)+2tan2(x)+1
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Solution
Period:π
Domain:πn≤x<π2+πnorπ2+πn<x<π+πn
Range:f(x)≥1
IntersectionsenY:(0,1)
Asymptotes:Verticalx=π2+πn
ExtremePoints:Minimum(πn,1)
+1
Interval Notation
Domain:[πn,π2+πn)∪(π2+πn,π+πn)
Range:[1,∞)
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Périodicité de tan4(x)+2tan2(x)+1:π
Domaine de tan4(x)+2tan2(x)+1:πn≤x<π2+πnorπ2+πn<x<π+πn
Plage de tan4(x)+2tan2(x)+1:f(x)≥1
Points d'interception de l'axe de tan4(x)+2tan2(x)+1:Intersections en Y:(0,1)
Asymptotes de tan4(x)+2tan2(x)+1:Vertical:x=π2+πn
Points extrêmes de tan4(x)+2tan2(x)+1:Minimum(πn,1)