Question

Постройте график функции у=2Х+1 проходит ли этот график через точку С(-2;-3)D(6;11)?

Answer 1

Узнать, проходит ли график функции через какие либо точки, можно и без построения графика, всего лишь нужно подставить координаты точки :)

Answer 2

Graph of the Function y = 2x + 1

To determine if the graph of the function y = 2x + 1 passes through the points C(-2, -3) and D(6, 11), we can first plot the function and then check if the given points lie on the graph.

The function y = 2x + 1 represents a linear equation in the form of y = mx + b, where m is the slope and b is the y-intercept.

The slope of the function y = 2x + 1 is 2, and the y-intercept is 1.

Plotting the Function

Let's plot the function y = 2x + 1 and check if the points C(-2, -3) and D(6, 11) lie on the graph.

The graph of the function y = 2x + 1 is a straight line with a slope of 2 and a y-intercept of 1.

Checking the Points

1. Point C(-2, -3): - When x = -2, y = 2(-2) + 1 = -3 - The point C(-2, -3) lies on the graph of the function y = 2x + 1.

2. Point D(6, 11): - When x = 6, y = 2(6) + 1 = 13 - The point D(6, 11) does not lie on the graph of the function y = 2x + 1.

Conclusion

The graph of the function y = 2x + 1 passes through the point C(-2, -3) but does not pass through the point D(6, 11).

In summary, the graph of the function y = 2x + 1 passes through the point C(-2, -3) but does not pass through the point D(6, 11).