Does the domain of the function $y=\sqrt[3]{x^3+1}$ include $x<-1$? If yes, why is Mathematica and Wolfram Alpha not plotting that part of the function?
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$\begingroup$The function:
$y=(x^3+1)^{\frac{1}{3}}$
Should include a domain of all real numbers because negative numbers also can have a cube root. So, yes, it should include $x \lt -1$. I'm not sure why those websites are acting up.
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