TI 68K graphing anomalies
This is not a new site by any means, but still a nice summary of misleading function plots. The 'false asymptote' problem has been fixed in AMS 3.10, and the 'partial circle' effect is well-known.
The most interesting example is the plot of y = x(x-5)^(2/5), in which most of the plot is missing. The complete plot is shown by expressing the function as y = x((x-5)^2)^(1/5), which avoids the intermediate complex result from (x-5)^(2/5), where x<5.
The remaining examples are not problems specific to the TI 68K calculators, but misleading effects from plotting the example functions with discrete resolution.
The most interesting example is the plot of y = x(x-5)^(2/5), in which most of the plot is missing. The complete plot is shown by expressing the function as y = x((x-5)^2)^(1/5), which avoids the intermediate complex result from (x-5)^(2/5), where x<5.
The remaining examples are not problems specific to the TI 68K calculators, but misleading effects from plotting the example functions with discrete resolution.
posted by db at 10:25 AM
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