Quadratic Equations, Inequalities, and Functions

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Presentation transcript:

Quadratic Equations, Inequalities, and Functions Chapter 10 Quadratic Equations, Inequalities, and Functions

Polynomial and Rational Inequalities 10.7 Polynomial and Rational Inequalities

10.7 Quadratic and Rational Inequalities Objectives Solve quadratic inequalities. Solve polynomial inequalities of degree 3 or more. Solve rational inequalities. Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Quadratic Inequalities Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Quadratic Inequalities Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Quadratic Inequalities Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Quadratic Inequalities Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Quadratic Inequalities Using Test Numbers Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Quadratic Inequalities Using Test Numbers –2 1 Interval A B C Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Quadratic Inequalities Using Test Numbers –2 1 Interval A B C Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Quadratic Inequalities Using Test Numbers –2 1 Interval A B C Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Steps for Solving Quadratic Inequalities Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving a Third-Degree Polynomial Inequality 2 –3 Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving a Third-Degree Polynomial Inequality Interval 2 –3 A B C D ( ) ( Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Rational Inequalities Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Rational Inequalities Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Rational Inequalities Interval Interval Interval A B C F T F Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Rational Inequalities Interval Interval Interval A B C ( Copyright © 2010 Pearson Education, Inc. All rights reserved.

10.7 Quadratic and Rational Inequalities Solving Rational Inequalities Interval Interval Interval A B C ( ( Copyright © 2010 Pearson Education, Inc. All rights reserved.