09 Hyperbole

Photo: Hyperbole 1/X tool om TactiPad

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Global description

The hyperbole represents the function 1 divided by X (1/x). The tool is L-shaped. Both parts of the L have a length of 10 centimetres. The inner corner of the tool is curved. By nature of the formula, the tails of the tool become very thin. To maintain the sturdiness of the tool, additional material has been added. For alignment purposes, a small square is left out at the lower left corner of the tool (X=0 and Y=0). As well as near the endings of the curve a flat section is provided. The graph contour endings are equipped with a pen blocker. Pushpin markers are provided at the top surface.

Detailed description

The formula represented in this tool is a smooth curve only going down, seen fromm X equals 0 to X equals 8. Along the curve small indents are provided to indicate Y values corresponding with X values equal 0,25, 0,50, 1, 2, 3, 4, 5, 6, 7 and 8 respectively.

Hyperbole manual

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Draw an X and Y axis with the ruler

For convenience place a pushpin in the crossing of the X and Y axis. When positioning the tool, be aware, the additional material covers the X and Y axis. Therefore, align the tool with the two axis by placing the flat sections at the tails with the axis. Draw along the contour of the tool. Rotate the tool 180 degrees clockwise. Align the tool with the axes and draw the second part of the graph.

Photo: An X and Y axis are drawn. The graph is drawn in the first quadrant. The tool has been rotated 180 degrees clockwise so the second part can be created. A pushpin is at position X=0, Y=0.