sketch

is it correct to include the third quadrant portion in a sketch of the function x^(-1/3)?

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Originally Posted by furor celtica

is it correct to include the third quadrant portion in a sketch of the function x^(-1/3)?

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Depends on whether you have restricted the domain of this function, on whether we are dealing with an equality/inequality, etc. What you have now is just an expression. It needs some context.

y= f(x)
all values of x

Quote:

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Originally Posted by furor celtica

y= f(x)
all values of x

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then that would include the part of the function in quad III ...

note that x = 0 is not in the domain.