Sketch the graphs of the following functions :
f(x) = 2sec πx
We know that g (x) = sec x is a periodic function with period π.
∴ f (x) = 2 sec (πx) is a periodic function with period 1. So, we will draw the graph of f (x) = 2 sec (πx) in the interval [0, 1]. The values of f (x) = 2 sec (πx) at various points in [0, 1] are listed in the following table:
By plotting the above points, we obtain the required curve.