Question

Постройте график функции y= - 6/x

Answer 1

Исользуем точки для x : -6 , -4 , -3 , 1 , 2 , 4
Для y: 1 , 1.5 , 2,-6,-3,-1.5
График в фотоскане

Answer 2

Graph of the Function y = -6/x

To graph the function y = -6/x, we can start by plotting a few points and then connecting them to form a curve. Let's choose some values for x and calculate the corresponding y values:

When x = -3, y = -6/(-3) = 2 When x = -2, y = -6/(-2) = 3 When x = -1, y = -6/(-1) = 6 When x = 1, y = -6/(1) = -6 When x = 2, y = -6/(2) = -3 When x = 3, y = -6/(3) = -2

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

| x | y | |---|---| | -3 | 2 | | -2 | 3 | | -1 | 6 | | 1 | -6 | | 2 | -3 | | 3 | -2 |

We can see that the graph of the function y = -6/x is a hyperbola. It has two branches, one in the first quadrant and the other in the third quadrant. The graph approaches the x-axis and the y-axis but never touches them.

Graph of y = -6/x


Please note that the graph shown above is a rough sketch and not to scale. It is always a good idea to use graphing software or a graphing calculator for more accurate and detailed graphs.