Question

Постройте график функции y=-2/x

Answer 1

Рисунок к задаче в приложении.
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Answer 2

Graph of the Function y = -2/x

To graph the function y = -2/x, we can start by plotting a few points to understand its behavior. Then, we can connect these points to create the graph.

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

For example: - When x = -3, y = -2/(-3) = 2/3 - When x = -2, y = -2/(-2) = 1 - When x = -1, y = -2/(-1) = 2 - When x = 1, y = -2/1 = -2 - When x = 2, y = -2/2 = -1 - When x = 3, y = -2/3 = -2/3

Now, let's plot these points and connect them to visualize the graph of the function y = -2/x.

(-3, 2/3), (-2, 1), (-1, 2), (1, -2), (2, -1), (3, -2/3)

By connecting these points, we can see that the graph of the function y = -2/x will approach the x and y axes as x approaches positive or negative infinity. The graph will also have a vertical asymptote at x = 0.

This graph represents the behavior of the function y = -2/x. It approaches the x-axis and the y-axis as x moves away from 0 in either direction.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.