- #1
Unredeemed
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I've been trying to plot the graph of y=x^(1/x).
The positive values of x have been fine, but the negative values have presented quite a challenge.
For even negative integers, I realized the y value was complex and for odd negative integers it was real.
Then, I started thinking about the vaues between integers (e.g. -2.5^(1/-2.5) and could only really come up with an answer for the rational negatives.
Am I right in thinking that you can find out by transforming the number into an integer by multiplying by a power of 10 and then seeing if it's odd or even?
I had absolutely no idea about how to deal with the irrational number (e.g. -pi^(-pi)). Does it require some kind of definition for irrational powers?
Thanks, in advance, for your help.
Unredeemed.
The positive values of x have been fine, but the negative values have presented quite a challenge.
For even negative integers, I realized the y value was complex and for odd negative integers it was real.
Then, I started thinking about the vaues between integers (e.g. -2.5^(1/-2.5) and could only really come up with an answer for the rational negatives.
Am I right in thinking that you can find out by transforming the number into an integer by multiplying by a power of 10 and then seeing if it's odd or even?
I had absolutely no idea about how to deal with the irrational number (e.g. -pi^(-pi)). Does it require some kind of definition for irrational powers?
Thanks, in advance, for your help.
Unredeemed.