Question

Sketch the graphs of the following functions:

5. y = 2 tan 3x

Answer 1

Step I- We find the value of c and a by comparing y = 2 tan 3x with y = c tan ax, i.e. c = 2 and a = 3.
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 3(i.e. a = 3) and mark the maximum value (i.e. c = 2) and minimum value (i.e.$-$c = $-$2).
Then , we obtain the following graph: