Sketch the graph of the following functions:
y=2 tan 3x

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Solution

To obtain the graph of y = 2 tan 3x we frist draw the graph if y =tanx in the interval $(- \frac{π}{2}, - \frac{π}{2})$ and then divide the x-coordinates of the points where it crosses x-axis by 3. we then streatch the graph vertically by a factor of 2.

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