Question

В одной системе координат постройте графики функций y=3x+2,y=3x+5,y=3x-4

Answer 1

Таблицы и графики 3-х функций во вложении

Answer 2

Plotting the Functions in One Coordinate System

To plot the functions y=3x+2, y=3x+5, and y=3x-4 in one coordinate system, we can use the given equations to determine the points on each graph.

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Let's plot the graphs for the given functions:

1. y=3x+2 2. y=3x+5 3. y=3x-4

Graphs of the Functions

The graph of y=3x+2: - The slope is 3, and the y-intercept is 2.

The graph of y=3x+5: - The slope is 3, and the y-intercept is 5.

The graph of y=3x-4: - The slope is 3, and the y-intercept is -4.

By using the slope and y-intercept, we can plot the graphs of these functions on the same coordinate system.

Graph of y=3x+2:
- y-intercept: (0, 2)
- Slope: 3

Graph of y=3x+5:
- y-intercept: (0, 5)
- Slope: 3

Graph of y=3x-4:
- y-intercept: (0, -4)
- Slope: 3

By plotting these points and drawing the lines with the corresponding slopes, we can visualize the graphs of these functions on the same coordinate system.

This will result in three parallel lines with the same slope but different y-intercepts.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.