Question

У=-2х график функции и обьясните чтоб я поняла откуда берутся числа!

Answer 1

Линейная функция, графиком является прямая.
Короче, берешь, допустим, 2. y=-2*2=-4, и так берешь две точки, чтоб построить функцию.

Answer 2

Graph of the Function -2x

The graph of the function -2x is a straight line with a slope of -2. This means that for every unit increase in the x-axis, the value of the function decreases by 2 units. Similarly, for every unit decrease in the x-axis, the value of the function increases by 2 units.

The general form of a linear function is y = mx + b, where m represents the slope of the line and b represents the y-intercept. In the case of the function -2x, the slope m is -2, and there is no y-intercept (b = 0).

The graph of the function -2x passes through the origin (0, 0) and extends in both the positive and negative directions of the x-axis.

Explanation of the Numbers

When we consider the function -2x, the numbers in the context of the graph represent the following:

- -2: This is the slope of the line. It indicates the rate at which the function value changes for each unit change in the x-axis. In this case, for every unit increase in x, the function value decreases by 2 units, and for every unit decrease in x, the function value increases by 2 units.

- 0: This represents the y-intercept of the graph. Since the function is -2x, there is no constant term added to the product of -2 and x. Therefore, the y-intercept is at the origin, which is the point (0, 0).

By understanding the slope and the y-intercept, we can interpret how the numbers are derived and their significance in the context of the graph of the function -2x.