x- and y- Intercepts - Maple Programming Help

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x- and y- Intercepts

 $\mathbit{x}$-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, $\left(a,0\right)$.

 $\mathbit{y}$-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 y-axis 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 y-intercepts of that curve will be displayed.

 x- intercepts y- intercept points on the graph

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