When plotting a graph with a discontinuity, asymptote, singularity, etc., is there an automatic way to prevent Matplotlib from 'joining the dots' across the 'break'? (please see code/image below). I read that Sage has a [detect_poles] facility that looked good, but I really want it to work with Matplotlib. import matplotlib.pyplot as plt import numpy as np from sympy import sympify, lambdify from sympy.abc import x fig = plt.figure(1) ax = fig.add_subplot(111) # Set up axis ax.spines['left'].set_position('zero') ax.spines['right'].set_color('none') ax.spines['bottom'].set_position('zero') ax.spines['top'].set_color('none') ax.xaxis.set_ticks_position('bottom') ax.yaxis.set_ticks_position('left') # Set up x and y ranges and precision xx = np.arange(-0.5, 5.5, 0.01) # Draw my curve myfunction = sympify(1/(x-2)) mylambdifiedfunction = lambdify(x, myfunction, 'numpy') ax.plot(xx, mylambdifiedfunction(xx), zorder=100, linewidth=3, color='red') # Set bounds ax.set_xbound(-1, 6) ax.set_ybound(-4, 4) plt.show() Continue reading...