## College Algebra (6th Edition)

1. The inequality sign is $<$, so we draw a dashed border 2. The border, $y=x^{2}-1$ is a parabola , obtained from $y=x^{2}$ by shifting down 1 unit, vertex: $(0,-1),$ opens up, x-intercepts: $0=x^{2}-1$ $0=(x+1)(x-1)$ x-intercepts:$\pm 1$ Additional points : $(\pm 2,3)$ 3. Test the point $(0,0)$ $0 < 0^{2}-1\quad ?$ $0 < -1\quad ?$ No 4. Shade the region that the origin does not belong to.