File:Exponential function plotted logarithmically and linearly.png

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Summary

Description
English: When a math function is graphed with a logarithmic Y-axis (left pane), each Y-axis gridline differs by a factor of ten. At an X-axis value of 6, the Y-axis value of this exponential function is 1 E−05 (0.000 001, or 1100,000). At 10 on the X-axis (off scale in both panes), the Y-axis value would be one-billionth (1 E−09). Even at 101 on the X-axis, the Y-axis value would equal one part in a googol; it is clear this exponential function can never reach zero. However, when the same exponential function is graphed linearly (right pane, where 1=1, 2=0.1, 3=0.01, and so forth, just as in the left pane), the asymptote of the curve misleadingly appears to reach the bound limit of zero past 4 on the X-axis.

Note: This image is optically scaled for placement in articles so its text appears appropriately sized and the image is razor sharp when thumbs are specified with a width of either 496px (18th of full size) or 567px or (17th of full size).

Date
Source Own work
Author Greg L

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Captions

An exponential function plotted logarithmically (left pane) and linearly

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5 January 2024

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File history

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Date/TimeThumbnailDimensionsUserComment
current06:14, 6 January 2024Thumbnail for version as of 06:14, 6 January 20243,968 × 1,874 (280 KB)Greg LLandscape format
01:47, 6 January 2024Thumbnail for version as of 01:47, 6 January 20242,000 × 3,713 (331 KB)Greg Ldelete the decimal points in the pane showing log values
00:32, 6 January 2024Thumbnail for version as of 00:32, 6 January 20242,000 × 3,713 (287 KB)Greg LUploaded own work with UploadWizard
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