Sketch the graphs of the following functions:

Question:

Sketch the graphs of the following functions:

f(x) = tan 2x

Solution:

Step I- We find the value of c and by comparing y = 2 tan 2x with y = tan ax, i.e. c = 1 and a = 2.

Step II- Then, we draw the graph of y =  tan x and mark the point where it crosses the x-axis.

Step III- Divide the x-coordinates of the points where y = tan x  crosses x-axis by 2(i.e. a = 2) and mark the maximum value (i.e. c = 1) and minimum value (i.e.-">--">-1).

Then , we obtain the following graph:

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