Chapter 4 - 4.2 - Graphs of Rational Functions - 4.2 Exercises - Page 324: 71

(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 $(1,0)$

$y=\frac{1}{x}-x$ $0=\frac{1}{x}-x$ $x=\frac{1}{x}$ $x^2=1$ $x=±1$