Question

Постройте график функции заданной уравнением y=3x-2

Answer 1

Это линейная функция. Подставляешь 2 числа в уравнение 0 и 1. Получается у1=-2 у2=1 . Потом просто чертишь

Answer 2

Graph of the Function y = 3x - 2

To graph the function y = 3x - 2, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

The given equation y = 3x - 2 is already in the slope-intercept form, where the slope (m) is 3 and the y-intercept (b) is -2.

Plotting the Graph

Using the slope and y-intercept, we can plot the graph of the function y = 3x - 2. The y-intercept is at (0, -2), and the slope of 3 means that for every 1 unit increase in x, y will increase by 3 units.

Now, let's plot a few points to draw the graph.

- When x = 0, y = -2 - When x = 1, y = 3(1) - 2 = 1 - When x = 2, y = 3(2) - 2 = 4

Now, we can plot these points on the graph and draw a straight line passing through them to represent the function y = 3x - 2.

Conclusion

The graph of the function y = 3x - 2 is a straight line with a slope of 3 and a y-intercept of -2. As x increases, y increases at a rate of 3 units for every 1 unit increase in x.

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