Question

Постройте график функций y=-3x+3

Answer 1

График линейной функции удобней всего строить по точкам. Поскольку график линейной функции - это прямая, хватит всего двух точек. Возьмем x = 0 (y(0) =  3) и x = 1 (y(1) = -3 + 3 =0).
То, как будет выглядеть график, показано на изображении:

Answer 2

У=-3х+3-прямая
х   0  2
у   3  -3

Answer 3

Graph of the Function y = -3x + 3

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

In this case, the slope is -3 and the y-intercept is 3. The slope tells us that for every 1 unit increase in x, the y-value decreases by 3 units. The y-intercept tells us that the graph intersects the y-axis at the point (0, 3).

To plot the graph, we can choose a few x-values, calculate the corresponding y-values using the equation y = -3x + 3, and then connect the points.

Let's choose three x-values: -1, 0, and 1.

When x = -1: y = -3(-1) + 3 = 6 So the point (-1, 6) is on the graph.

When x = 0: y = -3(0) + 3 = 3 So the point (0, 3) is on the graph.

When x = 1: y = -3(1) + 3 = 0 So the point (1, 0) is on the graph.

Now, let's plot these points and connect them to get the graph of the function y = -3x + 3.


The graph is a straight line with a negative slope of -3. It intersects the y-axis at the point (0, 3).

Conclusion

The graph of the function y = -3x + 3 is a straight line with a negative slope of -3. It intersects the y-axis at the point (0, 3).