Question

Построить график функции: y=2x

Answer 1

У=2х - прямая
График проходит через начало координат (0;0)
График располагается в 1 и 3 четверти.
Для построения достаточно взять 2 точки:
х   1   -1
у   2   -2

Answer 2

Graph of the Function y = 2x

To graph the function y = 2x, we can plot points on a coordinate plane and connect them to form a line. The equation y = 2x represents a linear function with a slope of 2 and a y-intercept of 0.

To find the points to plot, we can choose different values for x and calculate the corresponding y-values using the equation y = 2x. Here are a few points that we can use:

- When x = 0, y = 2(0) = 0. So we have the point (0, 0). - When x = 1, y = 2(1) = 2. So we have the point (1, 2). - When x = -1, y = 2(-1) = -2. So we have the point (-1, -2).

We can continue this process to find more points and plot them on the coordinate plane. Once we have enough points, we can connect them to form a straight line.

Plotting the Graph

Here is the graph of the function y = 2x:


The graph is a straight line that passes through the origin (0, 0) and has a slope of 2. As x increases, y also increases, and as x decreases, y also decreases. The line extends infinitely in both directions.

Please note that the image provided above is for illustrative purposes only and may not accurately represent the scale or proportions of the graph.