Question

Построить график функции: y=-6/|x|

Answer 1

Объяснение:

если что то там роспись чтоб некто не украл такой надо график функции

Answer 2

Graph of the Function y = -6/|x|

To graph the function y = -6/|x|, we can start by analyzing its behavior and plotting some key points.

The function y = -6/|x| can be broken down into two separate cases: when x is positive and when x is negative.

When x is positive, the function simplifies to y = -6/x. In this case, as x approaches positive infinity, y approaches 0. As x approaches 0 from the positive side, y approaches negative infinity. Similarly, as x approaches negative infinity, y approaches 0.

When x is negative, the function simplifies to y = 6/x. In this case, as x approaches negative infinity, y approaches 0. As x approaches 0 from the negative side, y approaches positive infinity. Similarly, as x approaches positive infinity, y approaches 0.

Based on this analysis, we can plot some key points on the graph:

- When x = -1, y = 6. - When x = -2, y = 3. - When x = -3, y = 2. - When x = 1, y = -6. - When x = 2, y = -3. - When x = 3, y = -2.

Now, let's plot these points on a graph:


Please note that the graph is not defined at x = 0, as the function involves division by zero. Therefore, there is a vertical asymptote at x = 0.

The graph of y = -6/|x| is symmetric with respect to the y-axis, as the function is an even function. It approaches the x-axis as x approaches positive or negative infinity.

I hope this helps! Let me know if you have any further questions.