Function Domain of cubic root Does the domain of the function $y=\sqrt[3]{x^3+1}$ include $x&lt;-1$? If yes, why is Mathematica and Wolfram Alpha not plotting that part of the function?
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.
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.