Question

1: consider y=2tan(pi x - pi)

___ ____

8 4

a)find the period of the above equation and sketch a full cycle of the graph including asymptotes, and appropriate scales.

Step 1

Period does not depend on horizontal shift and vertical stretch.

Period= pi/b=pi/(pi/8)=8

Step 2

The graph has asymptotes when pi*x/8 - pi/4=pi/2

so, x=6

And at x=6-8=-2 there will be asymptote too

Step 3

We draw from x=6-8=-2 to x=6, mak...

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