Definition:Intercept

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Definition

Let $\mathcal C$ be a curve embedded in a cartesian plane.

An intercept of $\mathcal C$ is a point where $\mathcal C$ intersects one of the coordinate axes.


In particular:


$x$-Intercept

An $x$-intercept of $\mathcal C$ is a point where $\mathcal C$ intersects the $x$-axis.


$y$-Intercept

A $y$-intercept of $\mathcal C$ is a point where $\mathcal C$ intersects the $y$-axis.