A shifted tangent zero
A shifted tangent zero
5 marks
TGM Original
Sketch y=|tan x-1| for 0 <= x <= pi, omitting undefined inputs. Label its zero, endpoints and vertical asymptote. State the range and reflected portions.
Solution:
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Answer:Zero \(\dfrac{\pi}{4}\); endpoints \((0,1),(\pi,1)\); asymptote \(x=\dfrac{\pi}{2}\); range \([0,\infty)\); reflect \(\left[0,\dfrac{\pi}{4}\right)\cup\left(\dfrac{\pi}{2},\pi\right]\).
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