PPT-Pre-calculus Unit 2: Power and polynomial functions review

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 fx . 1002 . - Limits 1: Local Behavior. REVIEW:. ALGEBRA is a ________________________ machine that ___________________ a function ___________ a point.. CALCULUS is a ________________________ machine that ___________________________ a function ___________ a point. Enea. Sacco. 2. Welcome to Calculus I!. Welcome to Calculus I. 3. Topics/Contents . Before Calculus. Functions. New functions from the old. Inverse Functions. Trigonometric Functions. Inverse Trigonometric Functions. Exponential and Logarithmic Functions. Objectives: Identify Polynomial functions. Determine end behavior recognize characteristics of polynomial functions. Use factoring to find zeros of polynomial functions.. Polynomials of degree 2 or higher have graphs that are smooth and continuous. By smooth we mean the graphs have rounded curves with no sharp corners. By continuous we mean the graphs have no breaks and can be drawn without lifting your pencil from the rectangular coordinate system.. Prerequisites– Lines. [Unit 1.1]. Objective: The student will be able to use lines with their associated graphs and tabular data to predict behavior of . modeled . functions.. Key ideas: P4–Point-Slope Equation, .  . An order . differential equation has a . parameter family of solutions … or will it?.  . 0. 1. 2. 3. 4. 0. 0. 1. 2. 3. 4. 1. 1. 2. 3. 4. 0. 2. 2. 3. 4. 0. 1. 3. 3. 4. 0. 1. 2. 4. 4. 0. 1. 2. 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.. Definitions. Coefficient. : the numerical factor of each term.. Constant. : the term without a variable.. Term. : a number or a product of a number and variables raised . to a power.. Polynomial. : a finite sum of terms of the form . 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. Now, we have learned about several properties for polynomial functions. Finding y-intercepts. Finding x-intercepts (zeros). End behavior (leading coefficient, degree). Testing values for zeros/factors (synthetic division) . 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. Frank Savina and Rebecca Hartzler . Michigan Math Summit June 28, 2017. 2. T. he . T. raditional Pathway to Calculus. If you needed math in college, you needed Calculus . 3. Additional student support. Objective: . Recognize the shape of basic polynomial functions. Describe the graph of a polynomial function. Identify properties of general polynomial functions: Continuity, End Behaviour, Intercepts, Local . Crispin A E Stromberg. Background . Master of Science, Applied Statistics. Kennesaw State University, 2012. Graduate Mathematics and Statistics Courses. University of West Florida. Bachelor of Science, Mathematics.