SOLUTION: Analyze the function f(x) = - 2 cot 3x. Include: - Domain and range - Period

SOLUTION: Analyze the function f(x) = - 2 cot 3x. Include: - Domain and range - Period - Two Vertical Asymptotes

Question 721320: Analyze the function f(x) = - 2 cot 3x. Include:
- Domain and range
- Period
- Two Vertical Asymptotes
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Analyze the function f(x) = - 2 cot 3x. Include:
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y = -2[cos(3x)/sin(3x)]
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Domain
All Real Numbers except with sin(3x)=0, i.e.,
All Real Numbers except x = 0 or pi/3 etc
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Range::: All Real Numbers
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- Period = (2pi/3) = (2/3)pi
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- Two Vertical Asymptotes:: x = 0 and x = pi/3
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Cheers,
Stan H.
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