What is the domain of y=x^3?

1 Answer
Jan 20, 2015

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

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

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

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