Question

Постройте график функции -3/x-2=1

Answer 1

График этой функции - точка.

Answer 2

Graphing the Function

To graph the function y = -3/x - 2 = 1, we can start by rearranging the equation to isolate y:

-3/x - 2 = 1

Adding 2 to both sides:

-3/x = 3

Multiplying both sides by x:

-3 = 3x

Dividing both sides by 3:

x = -1

Now that we have the value of x, we can substitute it back into the original equation to find the corresponding y value:

y = -3/(-1) - 2 = -3 + 2 = -1

Therefore, the point on the graph is (-1, -1).

To further analyze the graph, we can look at the behavior of the function as x approaches positive and negative infinity.

As x approaches positive infinity, the value of y approaches 0. This is because the negative term (-3/x) becomes negligible compared to the positive constant term (-2), resulting in y approaching -2.

As x approaches negative infinity, the value of y also approaches 0. This is because the negative term (-3/x) becomes negligible compared to the negative constant term (-2), resulting in y approaching -2.

Therefore, the graph of the function y = -3/x - 2 = 1 is a hyperbola with a vertical asymptote at x = 0 and a horizontal asymptote at y = -2. The point (-1, -1) lies on the graph.

Graph of the Function

Here is a visual representation of the graph:

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