Chapter 1 - Functions - 1.2 Representing Functions - 1.2 Exercises - Page 24: 60

$f(x)=x^3-1$ Domain: $R$

A function $y=f(x)$ so that $y$ is 1 less than $x^3$ is: $f(x)=x^3-1$ We graph the function starting from the parent function $p(x)=x^3$ which we shift one unit down. The domain of the function is the set of all real numbers $R$.