Polynomial and Rational Inequalities

Slides:



Advertisements
Similar presentations
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 1.
Advertisements

Copyright © 2008 Pearson Education, Inc. Chapter R Algebra Reference Copyright © 2008 Pearson Education, Inc.
Chapter 13 Income Inequality. Copyright © 2005 Pearson Addison-Wesley. All rights reserved
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Set Operations and Compound Inequalities.
2.8 - Solving Equations in One Variable. By the end of today you should be able to……. Solve Rational Equations Eliminate Extraneous solutions Solve Polynomial.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.
Section 6-2: Polynomials and Linear Factors
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Section 3.4 Library of Functions; Piecewise-defined Functions Copyright © 2013 Pearson Education, Inc. All rights reserved.
SECTION 3.4 POLYNOMIAL AND RATIONAL INEQUALITIES POLYNOMIAL AND RATIONAL INEQUALITIES.
Copyright © 2011 Pearson, Inc. 2.8 Solving Inequalities in One Variable.
Section 1.7 continued Solving Absolute Value Inequalities.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Rational Expressions and Functions Chapter 8.
FACTOR to SOLVE 1. X 2 – 4x X 2 – 17x + 52 (x-10)(x + 6) x = 10, -6 (x-4)(x - 13) x = 4,13.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Section 4.2 Graphing Polynomial Functions Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 2.6 The Graph of a Rational Function.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 5.1 Polynomial Functions and Models.
Section 8.2 The Inverse Trigonometric Functions (Continued) Copyright © 2013 Pearson Education, Inc. All rights reserved.
Chapter 6 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 6-1 Rational Expressions and Equations.
HOMEWORK CHECK.
Today in Pre-Calculus Go over homework Notes: (need calculator & book)
Section 1.5 Circles Copyright © 2013 Pearson Education, Inc. All rights reserved.
Fundamental Theorem of Algebra
Today in Pre-Calculus Need a calculator Review Chapter 2 Homework.
2. 8 Solving Equations in One Variable 2
Linear Programming: The Graphical Method
Polynomial Functions and Models
Fundamental Theorem of Algebra
Warm Up: Solve & Sketch the graph:
Polynomial Functions and Modeling
Lial/Hungerford/Holcomb: Mathematics with Applications 10e
Section 2.5 Graphing Techniques; Transformations
Rational Expressions and Functions
Copyright ©2015 Pearson Education, Inc. All right reserved.
Zeros of a Polynomial Function
Copyright © 2013 Pearson Education, Inc. All rights reserved
Section 9.4 Area of a Triangle
Polynomial and Rational Inequalities
Section 2.5 Graphing Techniques; Transformations
The Inverse Trigonometric Functions (Continued)
Section 1.5 Circles Copyright © 2013 Pearson Education, Inc. All rights reserved.
Inequalities Involving Quadratic Functions
Quadratic Equations, Inequalities, and Functions
Nonlinear Functions, Conic Sections, and Nonlinear Systems
Section 10.1 Polar Coordinates
Section 8.4 Area of a Triangle
Nonlinear Functions, Conic Sections, and Nonlinear Systems
One-to-One Functions;
The Graph of a Rational Function
Solving Linear Equations by Graphing
The Graph of a Rational Function
Section 8.3 The Law of Cosines
Section 10.5 General Form of a Conic
Properties of Rational Functions
Section R.2 Algebra Essentials
Section 10.5 The Dot Product
Section 2.9: Solving Inequalities in One Variable
Polynomial Functions and Models
Unit 4 Review Answers.
The Real Zeros of a Polynomial Function
Fundamental Theorem of Algebra
One-to-One Functions;
Polynomial and Rational Inequalities
Exponential Equations
Properties of Functions
Exponential Functions Logarithmic Functions
Properties of Logarithms
Properties of Rational Functions The Graph of a Rational Function
Presentation transcript:

Polynomial and Rational Inequalities Section 4.6 Polynomial and Rational Inequalities Copyright © 2013 Pearson Education, Inc. All rights reserved

Solve polynomial inequalities algebraically and graphically. Objectives Solve polynomial inequalities algebraically and graphically. Solve rational inequalities algebraically and graphically. Copyright © 2013 Pearson Education, Inc. All rights reserved

End behavior is like f(x) = x3 x-intercepts are 2 with multiplicity 2 (touches) and -1 with multiplicity 1 (crosses). y-intercept is 4 End behavior is like f(x) = x3 Where is this function less than 0? Copyright © 2013 Pearson Education, Inc. All rights reserved

Solve the inequality Copyright © 2013 Pearson Education, Inc. All rights reserved

Solve the inequality Copyright © 2013 Pearson Education, Inc. All rights reserved

Solve the inequality Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Homework: 4.6 #5, 7, 19-27, 33-41 odd Copyright © 2013 Pearson Education, Inc. All rights reserved

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.