You can graph two-variable absolute value inequalities in the same way that you graph linear inequalities.
Problem 3 Graphing an Absolute Value Inequality
What is the graph of
| Know | Need | Plan |
|---|---|---|
| Absolute value inequality | Boundary |
|
The graph of
Since the inequality is solved for y and
✓ Got It?
- What is the graph of
You can use the transformations discussed in previous lessons to help draw the boundary graphs more quickly. You can also use them to write an inequality based on a graph.
Problem 4 Writing an Inequality Based on a Graph
What inequality does this graph represent?
Plan
How can you tell that the graph is not a stretch or compression of the graph of y
= |
x
|? The slopes of the branches are 1 and
The boundary is the graph of the absolute value function
The solution is shaded above the boundary, so the inequality is either
✓ Got It?
-
- What inequality does this graph represent?
-
Reasoning You can tell from looking at the inequality
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions