Question

Постройте график функции y=√x+4

Answer 1

Держи график. кстати, советую приложение
grapher free. хорошо показывает графики.

Answer 2

Plot of the Function y = √x + 4

To plot the function y = √x + 4, we can start by understanding the behavior of the square root function and then adding the constant term of 4.

The square root function, √x, is a non-linear function that starts at the point (0, 0) and increases as x increases. It has a vertical asymptote at x = 0 and is defined for non-negative values of x.

Adding the constant term of 4 shifts the graph vertically upward by 4 units. This means that all the y-values of the square root function will be increased by 4.

Let's plot the function on a graph to visualize it.

import numpy as np
import matplotlib.pyplot as plt

x = np.linspace(0, 10, 100)  # Generate 100 x-values from 0 to 10
y = np.sqrt(x) + 4  # Calculate the corresponding y-values

plt.plot(x, y)
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graph of y = √x + 4')
plt.grid(True)
plt.show()

The graph of the function y = √x + 4 will look like this:


As you can see, the graph starts at the point (0, 4) and increases as x increases. The curve is smooth and continuous, with a vertical asymptote at x = 0.

Please note that the graph is only plotted for non-negative values of x, as the square root function is not defined for negative values of x.

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