Question

Построить график функций y=√(4+3x)

Answer 1

Y=√(4+3x)
4+3x≥0⇒3x≥-4⇒x≥-1 1/3
x∈[-1 1/3;∞)
x    -4/3    -1    0    5/3    4
y      0        1   2      3      4

Answer 2

Graph of the Function y = √(4 + 3x)

To graph the function y = √(4 + 3x), we can start by analyzing the equation. The function is in the form y = f(x), where f(x) represents the value of y for a given x. In this case, the function is a square root function.

The general form of a square root function is y = √(ax + b), where a and b are constants. In our case, a = 3 and b = 4.

To plot the graph, we can choose a range of x-values and calculate the corresponding y-values. Let's choose a range of x-values from -5 to 5 for simplicity.

| x | y = √(4 + 3x) | |-----|--------------| | -5 | 1 | | -4 | 2 | | -3 | 3 | | -2 | 4 | | -1 | 5 | | 0 | 6 | | 1 | 7 | | 2 | 8 | | 3 | 9 | | 4 | 10 | | 5 | 11 |

Now, let's plot these points on a graph:

import matplotlib.pyplot as plt
import numpy as np

x = np.linspace(-5, 5, 100)
y = np.sqrt(4 + 3*x)

plt.plot(x, y)
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graph of y = √(4 + 3x)')
plt.grid(True)
plt.show()

The graph of the function y = √(4 + 3x) will appear as a curve that starts from the point (-5, 1) and gradually increases as x increases.

Note: The code provided above uses the matplotlib library in Python to plot the graph. If you're using a different programming language, you can refer to the corresponding graphing library for that language.

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