Question

Помогите постройте график функции A)y= - 4x+6 б)y=2x

Answer 1

A)y= - 4x+6
x =0  y=6
x=2    y=-2
Строишь точки (0;6) и (2;-2),через них проводишь прямую
б)y=2x
х--2  у=-4
х=2  у=4
Строишь точки (-2;-4) и (2;4),через них проводишь прямую

Answer 2

Plotting the Functions

To plot the functions y = -4x + 6 and y = 2x, we can use their respective equations to generate the corresponding sets of points and then plot them on a graph.

Function: y = -4x + 6

The function y = -4x + 6 is a linear function in the form y = ax + b where a = -4 and b = 6. This means that for every unit increase in x, y decreases by 4 units and the y-intercept is at (0, 6).

Function: y = 2x

The function y = 2x is also a linear function with a slope of 2 and a y-intercept at the origin (0, 0).

Plotting the Graph

Let's plot the graph for these two functions.

import matplotlib.pyplot as plt
import numpy as np

# Generate x values
x = np.linspace(-10, 10, 100)

# Calculate y values for each function
y1 = -4*x + 6
y2 = 2*x

# Plot the functions
plt.figure(figsize=(8, 6))
plt.plot(x, y1, label='y = -4x + 6')
plt.plot(x, y2, label='y = 2x')
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graph of y = -4x + 6 and y = 2x')
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()

The graph will show the two linear functions plotted on the same set of axes, allowing for a visual comparison of their behavior.