## Thomas' Calculus 13th Edition

$\{(x,y)\in \mathbb{R}^{2}\ \ |\ \$ $x\neq y$ and $y\neq x^{3}$ $\}$
f is defined for points (x,y) that do not yield zero in the denominator. We exclude all points for which $\left\{\begin{array}{l} y=x\\ y=x^{3} \end{array}\right.$ We graph the line and the cubic curve with dashed lines. Domain: all points not lying on either of the graphs of $\left\{\begin{array}{l} y=x\\ y=x^{3} \end{array}\right.$. or, in set notation, $\{(x,y)\in \mathbb{R}^{2}\ \ |\ \$ $x\neq y$ and $y\neq x^{3}$ $\}$