Question

Постройте график функций y = |x| + 3 ​

Answer 1

Ответ:

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Answer 2

Plotting the Function y = |x| + 3

To plot the function y = |x| + 3, we can start by understanding the basic shape of the absolute value function. The absolute value function, denoted as |x|, returns the positive value of x regardless of its sign. When we add 3 to the absolute value function, the entire graph will shift upward by 3 units.

Let's plot the graph using a range of x-values and calculate the corresponding y-values.

import numpy as np
import matplotlib.pyplot as plt

x = np.linspace(-10, 10, 100)  # Range of x-values
y = np.abs(x) + 3  # Calculate y-values

plt.plot(x, y)
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graph of y = |x| + 3')
plt.grid(True)
plt.show()

The resulting graph will show a V-shaped curve with the vertex at (0, 3). The left and right sides of the graph will be symmetric.

Note: The code provided above is written in Python and uses the NumPy and Matplotlib libraries for numerical calculations and plotting, respectively. Make sure you have these libraries installed before running the code.

I hope this helps! Let me know if you have any further questions.