Chapter 4 - Polynomial and Rational Functions - 4.3 The Graph of a Rational Function - 4.3 Assess Your Understanding - Page 211: 1

$(-1,0),(1,0)$, $(0,\frac{1}{4})$

Step 1. To find the x-intercepts, let $y=0$, we have $x^2-1=0$, thus $x=\pm1$ or $(-1,0),(1,0)$ Step 2. To find the y-intercepts, let $x=0$, we have $y=\frac{-1}{-4}=\frac{1}{4}$ or $(0,\frac{1}{4})$