## Algebra and Trigonometry 10th Edition

(a) The graph of the rational function intercepts the x-axis when $x=-1$ and $x=1$. The x-intercepts are: $(-1,0)$ and $(1,0)$ (b) Algebraically $y=0$ when $x=±1$ The x-intercepts are: $(-1,0)$ and $(1,0)$
$y=\frac{1}{x}-x$ $0=\frac{1}{x}-x$ $x=\frac{1}{x}$ $x^2=1$ $x=±1$