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Problem with eval. of neg. cube root of neg. #

  • To: mathgroup at
  • Subject: [mg49894] Problem with eval. of neg. cube root of neg. #
  • From: pootleguard-mathgroup at (Josh)
  • Date: Thu, 5 Aug 2004 09:21:47 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

I am having trouble plotting the following function:

Plot[x^(1/3)*(x + 4), {x, -10, 10}]

Mathematica won't plot this function for negative x, although it is
obviously defined for negative x. It seems to be evaluating the
negative part of this function to imaginary numbers for some odd
reason.If I do:

f[x_] := (x^(1/3))*(x + 4)

and then:

f[-5] // N

I get:

-0.854988 - 1.48088 \[ImaginaryI]

when the correct answer is the negative cube root of negative 5, which
is approximately - (-1.70998) = 1.70998

I can send a copy of the notebook that shows where this is happening
to anyone who requests it...

Can anyone explain what is going on here? Is this a bug or am I
missing something?

Thanks in advance for any help ...

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