PPT-Chapter 4 Polynomial and Rational Functions

Section 41 Polynomial Functions Determine roots of polynomial equations Apply the Fundamental Theorem of Algebra Polynomial in one variable A polynomial in one variable x is an expression of the form a. Unit . 3. Polynomial Functions. Section: . 5.1. Polynomial Functions . This section studies the . Polynomial Function. .. Your Goal - learn to . identify. the function components that lead to its . Algebra 2. Chapter 5. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Defn. : . Polynomial function. In the form of: . ..  . The coefficients are real numbers.. The exponents are non-negative integers.. The domain of the function is the set of all real numbers.. Quadratic Function. A . quadratic function . is defined by a quadratic or second-degree polynomial.. Standard Form. , . where . a. . ≠ 0. .. Vertex Form. , where a. . ≠ 0..  . Vertex and Axis of Symmetry. What is a . rational . function?. Definition: . A function of the form . , where . and . are polynomials and . is not the zero polynomial.. What . is the most common form of the equation?.  . What does it look like?. Joint work with. . Leonid . G. urvits. Rafael Oliveira. . CCNY. . Princeton Univ.. Avi. . Wigderson. IAS. Noncommutative. rational identity testing (over the . What do we already know about polynomial functions?. They are either ODD functions. They are either EVEN. functions. Linear. y = 4x - 5. Cubic. y = 4x. 3. - 5. Fifth Power. y = 4x. 5. –x 5. Quadratics. Objectives:. To approximate . x. -intercepts of a polynomial function with a graphing utility. To locate and use relative . extrema. of polynomial functions. To sketch the graphs of polynomial functions. Standard 15. Graph and analyze polynomial and radical functions to determine:. Domain and range. X and y intercepts. Maximum and minimum values. Intervals of increasing and decreasing. End behavior. With the function: f(x) = . What do we already know about polynomial functions?. They are either ODD functions. They are either EVEN. functions. Linear. y = 4x - 5. Cubic. y = 4x. 3. - 5. Fifth Power. y = 4x. 5. –x 5. Quadratics. Rational Equations and Functions Algebra II Chapter 8 This Slideshow was developed to accompany the textbook Larson Algebra 2 By Larson , R., Boswell, L., Kanold , T. D., & Stiff, L. 2011 Holt What do we already know about polynomial functions?. They are either ODD functions. They are either EVEN. functions. Linear. y = 4x - 5. Cubic. y = 4x. 3. - 5. Fifth Power. y = 4x. 5. –x + 5. Quadratics. NC Math 31North Carolina Standard Course of StudyNorth Carolina Math 3Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and 3Construct viable a Algebra 2. Chapter 4. This Slideshow was developed to accompany the textbook. Big Ideas Algebra 2. By Larson, R., Boswell. 2022 K12 (National Geographic/Cengage). Some examples and diagrams are taken from the textbook..