Question

Дробь x=2/x постройке график

Answer 1

Ответ:

посмотри скрин там ответ

Answer 2

Plotting the Graph of the Function y = 2/x

To plot the graph of the function y = 2/x, we can use the following steps:

1. Define the Function: The function to be plotted is y = 2/x.

2. Choose a Range for x: We can choose a range of values for x to plot the graph. Let's choose x values from -10 to 10 for this example.

3. Calculate Corresponding y Values: For each x value chosen, calculate the corresponding y value using the function y = 2/x.

4. Plot the Points: Plot the points (x, y) on a graph with x on the horizontal axis and y on the vertical axis.

5. Connect the Points: Connect the plotted points to visualize the graph of the function.

Let's proceed with plotting the graph of the function y = 2/x using the steps outlined above.

Plotting the Graph

import matplotlib.pyplot as plt
import numpy as np

# Define the range of x values
x = np.linspace(-10, 10, 400)
x = x[x != 0]  # Remove x = 0 to avoid division by zero

# Calculate the corresponding y values
y = 2 / x

# Plot the graph
plt.figure(figsize=(8, 6))
plt.plot(x, y, label='y = 2/x', color='b')
plt.title('Graph of y = 2/x')
plt.xlabel('x')
plt.ylabel('y')
plt.axhline(0, color='black',linewidth=0.5)
plt.axvline(0, color='black',linewidth=0.5)
plt.grid(color = 'gray', linestyle = '--', linewidth = 0.5)
plt.legend()
plt.show()

The graph of the function y = 2/x is a hyperbola, with the x-axis and y-axis as its asymptotes. As x approaches positive or negative infinity, y approaches 0. Conversely, as x approaches 0 from the positive or negative side, y approaches positive or negative infinity, respectively.

This graph visually represents the behavior of the function y = 2/x over the chosen range of x values.