What is the domain of $y = x^{3}$ $y=x^3$ ?

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What is the domain of $y = x^{3}$ $y=x^3$ ?

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Answer 1 · 2015-01-20T09:16:53

$- \infty \to + \infty$ $-oo -> +oo$ There are no restrictions on $x$ $x$

Domain means all the values of $x$ $x$ that may be put into the equation, to give a allowed value of $y$ $y$

Example of a restriction:
$\sqrt[2]{x}$ $root 2 x$ has the restriction that $x$ $x$ may not be negative, because square roots of negative numbers are not defined. So the domain with this function is $x \geq 0$ $x>=0$
Another one is $y = \frac{1}{x}$ $y=1/x$ where $x$ $x$ cannot be $0$ $0$

For $y = x^{3}$ $y=x^3$ there is no such restriction. $x^{3}$ $x^3$ is defined for any value of $x$ $x$ .

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What is the domain of $y = x^{3}$ $y=x^3$ ?

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