Retaining tangent asymptotes

Retaining tangent asymptotes

5 marks

TGM Original

Sketch y=|tan x| for - 2 <= x <= 2, omitting undefined inputs. Label zeros and vertical asymptotes. State the reflected portions and range.

Solution:

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Answer:Zero \(0\); excluded inputs and asymptotes \(x=\pm\dfrac{\pi}{2}\); reflect \(-\dfrac{\pi}{2}<x<0\); range \([0,\infty)\).

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