When k>0, the two curves are located in the first quadrant and the third quadrant respectively; When k < 0, the two curves are located in the second quadrant and the fourth quadrant respectively, and the two branches are infinitely close to the X axis and the Y axis, but they will never intersect with the X axis and the Y axis.

Image drawing

1 list

2. Mark points in the plane rectangular coordinate system.

3. Connect points with smooth curves.

When K>0, y decreases with the increase of x in each quadrant where the image is located.

When k < 0, y increases with the increase of x in each quadrant where the image is located.

When two numbers are equal, the curve is meniscus.

Extended data

Symmetry:

The inverse proportional function image is a central symmetric figure, and the symmetric center is the origin; The image of inverse proportional function is also an axisymmetric figure, and its symmetry axis is y=x or y =-x; The points on the inverse proportional function image are symmetrical about the coordinate origin.

The image is symmetrical about the origin. If the positive proportional function y=mx and the inverse proportional function intersect at point A and point B (the signs of m and n are the same), then point A and point B are symmetrical about the origin. The inverse proportional function is symmetric about the positive proportional function y = x and symmetric about the center of the origin.

Baidu encyclopedia-inverse ratio letter