Question

Graph each inequality by hand.

$y\le x^2-1$

Short answer

The required graph is

Step-by-step solution

Step 1. Given Information  

We are given the inequality $y\le x^2-1$and we need to graph it.

Step 2. Plotting the graph   

First, we plot the equation of the parabola $y=x^2-1$.

The graph of the inequality $y\le x^2-1$is a solid line and so is part of the graph of the inequality. Since $\left(0,0\right)$does not satisfy the inequality, the graph consists of the portion away from the origin. The shaded portion represents the inequality. All the points on and outside the parabola satisfy the inequality. The graph is