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Concept

Intercept

The points where a graph crosses the x- and y-axes are called the x-intercept and y-intercept, respectively. The y-intercept of a function is also known as its initial value. When talking about functions, the x-intercepts are the zeros of the function.
Graph of a line and its intercepts

Sometimes, only one coordinate of these points is referenced. For example, if the x-intercept lies at (a,0), it can be said that the x-intercept is at x=a. The same is true for the y-intercept. A relation can have several intercepts. A function can have multiple x-intercepts, but it can only have one y-intercept.

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