Answer the questions about the graph above (dotted lines reperesent asymptotes),

Question

Answer the questions about the graph above (dotted lines reperesent asymptotes), then find an equation of the graph.

A) What is the period?

B) Which sinusoidal function should be associated witht the graph?

C) What is the amplitude of the associated sinusoidal graph?

D) What is the phase shift of the associated sinusoidal graph?

E) What is the vertical shift of the associated sinusoidal graph?

F) Has the associated sinusoidal graph been reflected over the x-axis?

G) Write an equation for the associated sinusoidal graph.

H) Write an equation for the actual graph.

Homework Due: Name: reasonable amount of work to receive full credit (if in doubt, show a it). questions about the graph below (dotted lines represent asymptotes), ther 1. .3 b) Which sinusoidal associated with t od?

Explanation / Answer

A) Since the graph repeats itself after every 4 time units, time period = 4 radians

B) This graph is the scaled version of the graph of cosec(x). Hence it should be associated with cosec function.

C) Amplitude of associated graph is 1

D) phase shift is zero

E) Vertical shift is zero

F) No, there is no reflection with respect to x-axis

G) y = cosec(x)

H) y = 2cosec[ (2pi/4)x]

y = 2cosec[ (pi/2)x]

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