Question

Постройте график функции: б) у = 6 - 3x;​

Answer 1

прямая проходит через точки 0,6 и 2

Answer 2

Plotting the Function: y = 6 - 3x

To plot the function y = 6 - 3x, we can use a Cartesian coordinate system. The x-axis represents the input values, and the y-axis represents the corresponding output values.

To get started, let's choose a range of x-values and calculate the corresponding y-values using the given function. We can then plot these points on the graph and connect them to visualize the function.

Let's choose a range of x-values from -10 to 10 and calculate the corresponding y-values:

| x | y = 6 - 3x | | --- | ---------- | | -10 | 36 | | -9 | 33 | | -8 | 30 | | -7 | 27 | | -6 | 24 | | -5 | 21 | | -4 | 18 | | -3 | 15 | | -2 | 12 | | -1 | 9 | | 0 | 6 | | 1 | 3 | | 2 | 0 | | 3 | -3 | | 4 | -6 | | 5 | -9 | | 6 | -12 | | 7 | -15 | | 8 | -18 | | 9 | -21 | | 10 | -24 |

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

import matplotlib.pyplot as plt

x = [-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
y = [36, 33, 30, 27, 24, 21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24]

plt.plot(x, y)
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graph of y = 6 - 3x')
plt.grid(True)
plt.show()

The resulting graph will show a straight line with a negative slope. The line will intersect the y-axis at 6 and the x-axis at 2.

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