Question -
Answer -
We know that f (x) = sec x is a periodic function with period π.
So, 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:
| x | 0 | 1/2 | -1/2 | 1 | -3/2 | 3/2 | 2 |
| f (x) = 2 sec (πx) | 2 | ∞ | →-∞ | -2 | -∞ | ∞ | 2 |
The required curve is:
