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Retaining tangent asymptotes

Retaining tangent asymptotes

5 marks
TGM Original
Sketch y=|tan2x| for 0 <= x <= pi, omitting undefined inputs. Label zeros and vertical asymptotes. State the reflected portions and range.

Solution:

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Answer:Zeros \(0,\dfrac{\pi}{2},\pi\); asymptotes \(x=\dfrac{\pi}{4},\dfrac{3\pi}{4}\); reflect \(\left(\dfrac{\pi}{4},\dfrac{\pi}{2}\right)\cup\left(\dfrac{3\pi}{4},\pi\right)\); range \([0,\infty)\).

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