Question

Постройте график функции y=2^x

Answer 1

Пожалуйста! Держи чертёж!

Answer 2

Graph of y=2^x

To plot the graph of the function y=2^x, we can use the exponential function. The general form of the exponential function is y=a^x, where "a" is the base and "x" is the exponent. In this case, the base "a" is 2.

The graph of the function y=2^x is an increasing exponential curve that passes through the point (0, 1) and approaches but never reaches the x-axis as x approaches negative infinity. As x approaches positive infinity, the function grows rapidly.

Let's plot the graph of y=2^x:

import matplotlib.pyplot as plt
import numpy as np

x = np.linspace(-2, 2, 100)  # Generate 100 points between -2 and 2
y = 2**x  # Calculate the corresponding y values

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()

This code will generate a graph of the function y=2^x, showing the exponential growth of the function as x increases.

Note: The graph is based on the general behavior of the function y=2^x and may not be an exact representation of the function due to the limited range of x values used for plotting.