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 . A polynomial in of degree where is an integer is an expression of the form 1 where 0 a a are constants When is set equal to zero the resulting equation 0 2 is called a polynomial equation of degree In this unit we are concerned with the number A Service Learning Experience. Melinda Rudibaugh. Mathematics Faculty,. Chandler-Gilbert Community College. What is Service Learning?. Not volunteerism. Tied to the curriculum. Requires meaningful reflection and self-growth. Casey Parsons. What is impact calculus?. You might remember on the first . powerpoint. that something called “impact calculus” was referenced a couple of times. It’s how we determine who wins the round . 8. Newton & Leibniz. History & Philosophy of Calculus, Session . 8. The invention of the calculus. Newton and Leibniz in 17. th. Century invented the algorithmic procedures underlying the calculus. Algebra II with . Trigonometry. Ms. Lee. Essential Question. What is a polynomial?. How do we describe its end behavior?. How do we add/subtract polynomials?. Essential Vocabulary. Polynomial . Degree. Polynomial Function. Definition: A polynomial function of degree . n. in the variable x is a function defined by. Where each . a. i. (0 ≤ . i. ≤ n-1) is a real number, a. n. ≠ 0, and n is a whole number. . 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. Section 2.4. Terms. Divisor: . Quotient: . Remainder:. Dividend: . PF. FF .  . Long Division. Use long division to find . divided by . ..  . Division Algorithm for Polynomials. Let . and . be polynomials with the degree of . Section 4.1. 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. 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 . 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..