Why can't I graph w/maple & calc

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SUMMARY

The function f(x)=\frac{(-1)^{x}}{x*\sqrt{x}} can only be graphed for positive integer values of x due to its domain restrictions. Substituting non-integer or negative values results in imaginary numbers or undefined expressions. The issue lies not with the tools used, such as Maple or calculators, but with the inherent properties of the function. For visualizing integer solutions, using the tool Grafeq 3.2 is recommended.

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Homework Statement


f(x)=\frac{(-1)^{x}}{x*\sqrt{x}}


Homework Equations


n/a


The Attempt at a Solution


I'm trying to plot this in maple and my calculator but no dice. What am I doing wrong?
 
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Imaginary Range

The problem is not with Maple or your calculator. If you analyze the function, you will notice that the domain of the function is only positive integers. If non-integers are substituted into the numerator x, a sample result would be (-1)^{1/2} = \sqrt{-1} = i. Similarly, all non-integers will produce a form of an imaginary result. 0 can't be part of the domain either since \frac{(-1)^0}{0\sqrt(0)}=\frac{1}{0}, which is undefined. Finally, no negative number for x will work either since the denominator contains \sqrt{x} and substituting negative values will give you a multiple of i.
However, if you would like to visualize the integer solutions to this equation, try graphing it using ftp://ftp.peda.com/grafeq32.exe.
 
Thanks!
 

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