x- and y- Intercepts - Maple Programming Help

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x- and y- Intercepts

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, a,0.

 

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, 0,b.

 

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

 

More MathApps

MathApps/Graphing

 


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