# Chapter 2 - Nonlinear Functions - 2.1 Properties of Functions - 2.1 Exercises - Page 54: 19

$(-\infty,\infty)$

#### Work Step by Step

We are given that $f(x)=x^4$ and want to determine all possible real numbers $x$ such that $x^4$ is defined. We can always raise any real number to the fourth power, so the domain of $f$ is all real numbers, which can be expressed in interval notation as $(-\infty,\infty)$.

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