해법
f(x)=−2sin(x)−4sin(2x)
해법
Period:2π
Domain:−∞<x<∞
Range:−21−12865−129−4sin(2arccos(16129−1))≤f(x)≤21−12865−129−4sin(2(2π−arccos(16129−1)))
X가로채기:(2πn,0),(π+2πn,0),(arccos(−41)+2πn,0),(−arccos(−41)+2π+2πn,0),Y가로채기:(0,0)
Asymptotes:없음
ExtremePoints:극히적은양arccos(16129−1)+2πn,−21−12865−129−4sin(2arccos(16129−1)),최대arccos(−161+129)+2πn,−21−12865+129−4sin(2arccos(−161+129)),극히적은양−arccos(−161+129)+2π+2πn,21−12865+129−4sin(2(−arccos(−161+129)+2π)),최대2π−arccos(16129−1)+2πn,21−12865−129−4sin(2(2π−arccos(16129−1)))
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간격 표기법
Domain:(−∞,∞)
Range:−21−12865−129−4sin(2arccos(16129−1)),21−12865−129−4sin(2(2π−arccos(16129−1)))
솔루션 단계
주기성 −2sin(x)−4sin(2x):2π
도메인 −2sin(x)−4sin(2x):−∞<x<∞
범위 −2sin(x)−4sin(2x):−21−12865−129−4sin(2arccos(16129−1))≤f(x)≤21−12865−129−4sin(2(2π−arccos(16129−1)))
축 가로채기 포인트 −2sin(x)−4sin(2x):X 가로채기:(2πn,0),(π+2πn,0),(arccos(−41)+2πn,0),(−arccos(−41)+2π+2πn,0),Y 가로채기:(0,0)
점근점 −2sin(x)−4sin(2x):없음
극한점 −2sin(x)−4sin(2x):극히 적은 양arccos(16129−1)+2πn,−21−12865−129−4sin(2arccos(16129−1)),최대arccos(−161+129)+2πn,−21−12865+129−4sin(2arccos(−161+129)),극히 적은 양−arccos(−161+129)+2π+2πn,21−12865+129−4sin(2(−arccos(−161+129)+2π)),최대2π−arccos(16129−1)+2πn,21−12865−129−4sin(2(2π−arccos(16129−1)))