Stage 22 · Inverse-Proportion Functions

22.2.3 Drawing Ever Closer to the Axes

22.2 Drawing the Inverse-Proportion Graph

Point 3 of 5

22.2.3 Drawing Ever Closer to the Axes

Core idea

The curve hugs the x-axis and y-axis closer and closer but never quite touches, so the axes are its asymptotes.

Module goal. Plot the hyperbola point by point and get to know its shape: two separate branches that never touch the axes.
eastmath.com · 22.2 Drawing the Inverse-Proportion Graph · 22.2.3 Drawing Ever Closer to the Axes