As we know that f (x) = sec x is a periodic function with period π.
Therefore, f (x) = 2 sec (πx) is a periodic function with period 1. Therefore, we will draw the graph of f (x) = 2 sec (πx) in the interval [0, 1]. Here, 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 |
Thus, the required curve is:
