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Removable discontinuity example 2

Description of the graph

The graph consists of two segments: y equals x when x is not equal to one, and y equals two when x equals one. The graph has x- and y-axes and the scale for both axes is in units of one, labeled from minus five to plus five. The shape of the graph is a straight line with a slope of one. The graph begins at the point of x equals minus five and y equals minus five. As it moves to the right, the graph continues to increase, through the origin, till x equals less than one. Then, when x equals one, the y-value becomes two. Then, when x is greater than one, the graphs continues to increase again until it reaches the point of x equals plus five and y equals plus five.

Sonification

Click a play button to start sonification.

Description of discontinuity

This graph is a case that y has a discrete value at a point of x equals one (i.e. y becomes two instead of one, when x equals one). If a graph containts a descrete value at a point (i.e. the graph is not continuous), it is called a removable discontinuity.

Description of sonification

When x equals one, you will hear the pitch goes high once, then back to low again.

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