x and y Intercepts
$\mathit{x}$intercept

An $x$intercept of a graph is a point where the graph crosses the $x$axis. An $x$intercept occurs at a point on the graph where the $y$coordinate is zero, $\left(a\,0\right)$.



$\mathit{y}$intercept

A $y$intercept of a graph is a point where the graph crosses the $y$axis. A $y$intercept occurs at a point on the graph where the $x$coordinate is zero, $\left(0\,b\right)$.



A graph can have many intercepts, one intercept, or no intercepts. If the graph is the graph of a function then it has at most one $y$intercept, since the graph of a function must pass the vertical line test and the yaxis is one such vertical line.
The graph of a function can have any number of $x$intercepts, including none and infinitely many.
Click to place up to 5 points on the Intercept Graph. A curve will be interpolated through the points and the x and yintercepts of that curve will be displayed.

x intercepts
y intercept
points on the graph





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