"Images and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 2

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"Images and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 2

Shape: The images are each composed of two curves, so the image of the inverse proportional function is called a hyperbola.

Location:

The two curves of the function y=4/x are located in the first and third quadrants respectively. The two curves of the function y=-4/x are located in the second and fourth quadrants respectively.

In which two quadrants does the graph of the inverse proportional function y=k/x lie, and how is it determined?

When k>0, the two hyperbolas are located in the first and third quadrants respectively;

When k<0, the two hyperbolas are located in the second and fourth quadrants respectively;

Graph and properties of inverse proportional functions

1:Shape

The graph of the inverse proportional function is composed of two hyperbolas.

Therefore, the graph of the inverse proportional function is called a hyperbola;

2: Location

When k>0, the two hyperbolas are located in the first and third quadrants respectively;

When k<0, the two hyperbolas are located in the second and fourth quadrants respectively;

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Update Time: 2024-10-02

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