Question

Постройте график функций y=x+3.Пренадлежат ли графику функции точки (-2 и -5) (3и6) (17и-10) (145и148)

Answer 1

Это будет прямая проходящая через точки (0;3) и (1;4) ей будут принадлежать точки (3;6) и (145;148)

Answer 2

Graph of the Function y = x + 3

To graph the function y = x + 3, we can plot a few points and then connect them to visualize the graph.

Let's start by choosing some x-values and finding the corresponding y-values using the given function.

- When x = -2, y = -2 + 3 = 1 - When x = 3, y = 3 + 3 = 6 - When x = 17, y = 17 + 3 = 20 - When x = 145, y = 145 + 3 = 148

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

The points on the graph are: - (-2, 1) - (3, 6) - (17, 20) - (145, 148)

Points and Their Membership on the Graph

Now, let's check if the given points belong to the graph of the function y = x + 3.

1. Point (-2, -5): - The x-coordinate is -2, and the y-coordinate is -5. - Substituting x = -2 into the function y = x + 3 gives y = -2 + 3 = 1. - Therefore, the point (-2, -5) does not belong to the graph of the function y = x + 3.

2. Point (3, 6): - The x-coordinate is 3, and the y-coordinate is 6. - Substituting x = 3 into the function y = x + 3 gives y = 3 + 3 = 6. - Therefore, the point (3, 6) belongs to the graph of the function y = x + 3.

3. Point (17, -10): - The x-coordinate is 17, and the y-coordinate is -10. - Substituting x = 17 into the function y = x + 3 gives y = 17 + 3 = 20. - Therefore, the point (17, -10) does not belong to the graph of the function y = x + 3.

4. Point (145, 148): - The x-coordinate is 145, and the y-coordinate is 148. - Substituting x = 145 into the function y = x + 3 gives y = 145 + 3 = 148. - Therefore, the point (145, 148) belongs to the graph of the function y = x + 3.

Conclusion

In summary: - The points (-2, -5) and (17, -10) do not belong to the graph of the function y = x + 3. - The points (3, 6) and (145, 148) belong to the graph of the function y = x + 3.