Challenges of plotting

plot_math.py

import numpy as np
from matplotlib import pyplot as plt


def noisy_mapping( mapping ):
    def _(x):
        y = mapping(x)
        y += np.random.normal(0, 2, size=y.size)
        return y
    return _

funcs = {}
funcs['sin'] = noisy_mapping(np.sin)
funcs['log'] = noisy_mapping(np.log)
funcs['pow1.5'] = noisy_mapping(lambda x: x**(3/2))

X = np.arange(0.1, 10, step=0.001)

for name, func in funcs.items():
    plt.plot(X, func(X))

plt.show()