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Chapter 11: Q. 20 (page 783)

Graph each inequality by hand.

y>x2+2

Short Answer

Expert verified

The required graph is

Step by step solution

01

Step 1. Given Information  

We are given the inequality y>x2+2and we need to graph it.

02

Step 2. Plotting the graph  

First, we plot the equation of the parabola y=x2+2.

The graph of the inequality y>x2+2is a solid line and so is part of the graph of the inequality. Since 0,0does not satisfy the inequality, the graph consists of the portion away from the origin. The shaded portion represents the inequality. All the points inside the parabola satisfy the inequality. The graph is

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