How to plot piecewise functions using Python

The details are as follows:

How to draw the piecewise function as shown in the figure above in Python?

import matplotlib.pyplot as plt
import numpy as np
def f(x):
    if x <= -1:
        return -0.5 - x
    if -1 < x <= 1:
        return 0.5 * (x ** 2)
    else:
        return x - 0.5
x = np.linspace(-3, 3)
y = []
for i in x:
    y_1 = f(i)
    y.append(y_1)
plt.plot(x, y)
plt.grid()
plt.show()

Let’s change the example:

import matplotlib.pyplot as plt
import numpy as np
def f(x):
    if x <= -1:
        return 1
    if -1 < x <= 1:
        return 0.5 * (x ** 2)
    else:
        return 1
x = np.linspace(-3, 3)
y = []
for i in x:
    y_1 = f(i)
    y.append(y_1)
y_2 = x ** 2
plt.plot(x, y)
plt.grid()
plt.show()

The result is displayed as:

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