Question

В одной системе координат постройте графики функций у=2х+2 , у=-2х-2 ., у=2х

Answer 1

1 это
у=2х+2  2-у=-2х-2 3-у=2х
 

Answer 2

Plotting the Functions in One Coordinate System

To plot the functions y = 2x + 2, y = -2x - 2, and y = 2x in one coordinate system, we can use the given equations to generate their respective graphs.

The graph of y = 2x + 2 is a straight line with a slope of 2 and y-intercept at (0, 2). The graph of y = -2x - 2 is also a straight line with a slope of -2 and y-intercept at (0, -2). Lastly, the graph of y = 2x is a straight line passing through the origin with a slope of 2.

Let's plot these functions in a single coordinate system.

import matplotlib.pyplot as plt
import numpy as np

x = np.linspace(-5, 5, 100)  # Generating x values

# Plotting the functions
plt.plot(x, 2*x + 2, label='y = 2x + 2')
plt.plot(x, -2*x - 2, label='y = -2x - 2')
plt.plot(x, 2*x, label='y = 2x')

# Adding labels and title
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graphs of y = 2x + 2, y = -2x - 2, and y = 2x')
plt.legend()  # Adding legend
plt.grid(True)  # Adding grid
plt.show()

The resulting graph will display the three functions in one coordinate system, allowing for a visual comparison of their behavior.

Conclusion

By plotting the functions y = 2x + 2, y = -2x - 2, and y = 2x in one coordinate system, we can observe their respective graphical representations and analyze their relationships and intersections.