Sketch the two cycles of the graph (starting from x = 0) of the given function. Indicate the amplitude, period, phase shift, domain and range and vertical asymptotes.

Question

Sketch the two cycles of the graph (starting from x = 0) of the given function. Indicate the amplitude, period, phase shift, domain and range and vertical asymptotes.

y = tan 2x

Answer 1

Period for tan is pi, so for tan 2x it is pi/2

Vertical asymptotes for tan are pi/2 + pk, so for tan 2x pi/4 + pk/2 where k=0,+-1,+-2, ...