Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 2.6 The Graph of a Rational Function.

Slides:



Advertisements
Similar presentations
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.6 Graphs of the Sine and Cosine Functions.
Advertisements

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.2 Graphs of Equations In Two Variables; Intercepts; Symmetry.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 4.3 Quadratic Functions and Their Properties.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 2.2 Limits Involving Infinity.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.3 Lines.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 3.4 Library of Functions; Piecewise-defined Functions.
 FOR A RATIONAL FUNCTION, FIND THE DOMAIN AND GRAPH THE FUNCTION, IDENTIFYING ALL OF THE ASYMPTOTES.  SOLVE APPLIED PROBLEMS INVOLVING RATIONAL FUNCTIONS.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadratic Equations.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.1 Composite Functions.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 2.1 Rates of Change and Limits.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 5.1 Polynomial Functions and Models.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 5.6 Complex Zeros; Fundamental Theorem of Algebra.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.3 Complex Numbers Quadratic Equations in the Complex Number System.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.4 Logarithmic Functions.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 4.1 Polynomial Functions and Models.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 5.1 Polynomial Functions and Models.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 4.1 Polynomial Functions and Models.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 5.1 Polynomial Functions and Models.
The Inverse Trigonometric Functions (Continued)
Section 2.6 Rational Functions Part 2
Sinusoidal Curve Fitting
Section 9.1 Polar Coordinates
Section R.8 nth Roots; Rational Exponents
Building Exponential, Logarithmic, and Logistic Models from Data
The Inverse Sine, Cosine, and Tangent Functions
Section 2.4 Circles Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Properties of Functions
Piecewise-defined Functions
Section 5.1 Composite Functions
Fundamental Theorem of Algebra
Section 8.3 The Law of Cosines
Section 11.8 Linear Programming
Equations Quadratic in Form Absolute Value Equations
Copyright © 2008 Pearson Prentice Hall Inc.
Copyright © 2008 Pearson Prentice Hall Inc.
Section 2.2 The Graph of a Function
Exponential Equations
Section 2.2 The Graph of a Function
Polynomial and Rational Inequalities
Mathematical Models: Building Functions
Copyright © 2008 Pearson Prentice Hall Inc.
Copyright © 2008 Pearson Prentice Hall Inc.
Partial Fraction Decomposition
Section 3.2 The Graph of a Function
Sinusoidal Curve Fitting
The Graph of a Rational Function
The Real Zeros of a Polynomial Function
Piecewise-defined Functions
Section 7.4 The Hyperbola Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Systems of Linear Equations: Matrices
The Graph of a Rational Function
Quadratic Equations in the Complex Number System
Partial Fraction Decomposition
Properties of Rational Functions
Section 7.2 The Parabola Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Section 6.1 Composite Functions
Polynomial Functions and Models
Copyright © 2008 Pearson Prentice Hall Inc.
Copyright © 2008 Pearson Prentice Hall Inc.
The Inverse Trigonometric Functions (Continued)
The Graph of a Rational Function
Properties of Rational Functions
Polynomial Functions and Models
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Properties of Rational Functions The Graph of a Rational Function
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
The Inverse Sine, Cosine, and Tangent Functions
Quadratic Functions and Their Properties
Presentation transcript:

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.

The x-intercepts are the real zeros of the numerator that are in the domain of R. x – 1 = 0 so x = 1 is the only x-intercept.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

x-intercepts are –2 (even multiplicity) and 5 (odd multiplicity) Vertical asymptotes at x = –5 and x = 2.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. So far we have :

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

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

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