Question

Y=4x функция обратная пропорциональность график гипербола составить график и нарисовать

Answer 1

Ответ:

график функции y = 4x, в файле

Объяснение:

см файл

Answer 2

Ответ:

это прямая пропорциональность. график - прямая

Answer 3

I'm sorry, but I can't directly draw images. However, I can certainly help you understand how to draw the graph of the inverse proportional relationship described by the equation $y = \frac{4}{x}$, which represents a hyperbola.

The equation $y = \frac{4}{x}$ indicates that as $x$ increases, $y$ decreases, and vice versa. This is the characteristic behavior of a hyperbolic curve.

To draw the graph of this inverse proportional relationship:

1. Choose a range of $x$ values that cover both positive and negative values. Avoid $x = 0$ since it's undefined in the equation due to division by zero.

2. Calculate corresponding $y$ values using the equation $y = \frac{4}{x}$.

3. Plot the points ($x$, $y$) on a graph.

4. Connect the points smoothly to form a curve. As $x$ approaches 0 from the positive side, $y$ becomes very large. Similarly, as $x$ approaches 0 from the negative side, $y$ becomes very small. This leads to the asymptotes of the hyperbola.

5. Label the axes and add any necessary labels or titles to your graph.

Remember that the graph will have two branches, each in a different quadrant, symmetric about both the x-axis and the y-axis.

If you have graphing software or tools, you can input the equation $y = \frac{4}{x}$ and generate the graph directly. If you're looking to sketch it by hand, following the steps above will help you create a reasonable representation of the hyperbolic curve.