Untitled

import matplotlib.pyplot as plt
import numpy as np

# Define the function
def floor_function(x):
    return np.floor(x)

# Generate x values
x = np.linspace(-1, 5, 400)
y = floor_function(x)

# Plot
plt.figure(figsize=(8, 6))
plt.step(x, y, where='post', linestyle='-', color='blue', label='$f(x) = \lfloor x \rfloor$')

# Set labels and title
plt.xlabel('$x$')
plt.ylabel('$f(x)$')
plt.title('Graph of the Floor Function $f(x) = \lfloor x \rfloor$')
plt.grid(True)
plt.xticks(np.arange(-1, 6, 1))
plt.yticks(np.arange(-2, 6, 1))
plt.axhline(0, color='black',linewidth=0.5)
plt.axvline(0, color='black',linewidth=0.5)
plt.legend()