Question

Постройте график функции у=-6/х+2. укажите промежутки возрастания функции

Answer 1

Функция возрастает на всей области определения, т.е. при х не равном 0.

Answer 2

Graph of the Function and Intervals of Increase

To graph the function y = -6/x + 2 and determine the intervals of increase, we can start by analyzing the behavior of the function and identifying its critical points.

The function y = -6/x + 2 can be graphed as follows:

1. The function is of the form y = k/x + c, where k = -6 and c = 2. 2. The graph of the function will have a vertical asymptote at x = 0 due to the division by zero. 3. As x approaches positive or negative infinity, y approaches 2. 4. The function will have a horizontal asymptote at y = 2.

Now, let's determine the intervals of increase for the function.

The intervals of increase for the function y = -6/x + 2 are as follows:

- When x > 0, the function is increasing. - When x < 0, the function is also increasing.

Therefore, the function y = -6/x + 2 is increasing for all real values of x.

This information can be visually represented on the graph of the function, showing that the function is always increasing for all real values of x.

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