To handle an asymptote/discontinuity with matplotlib, we can take the following steps −
Create x and y data points using numpy.
Turn off the axes plot.
Plot the line with x and y data points.
Add a horizontal line across the axis, x=0.
Add a vertical line across the axis, y=0.
Place legend for the curve y=1/x.
To display the figure, use show() method.
Example
import numpy as np from matplotlib import pyplot as plt plt.rcParams["figure.figsize"] = [7.00, 3.50] plt.rcParams["figure.autolayout"] = True x = np.linspace(-1, 1, 100) y = 1 / x plt.axis('off') plt.plot(x, y, label='y=1/x') plt.axhline(y=0, c='red') plt.axvline(x=0, c='red') plt.legend(loc='upper left') plt.show()