Math141Outline2 - MATH 141 PRECALCULUS MIDTERM 2 POLYNOMIAL...

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MATH 141: PRECALCULUS MIDTERM 2: POLYNOMIAL, RATIONAL, EXPONENTIAL, AND LOG FUNCTIONS (CHAPTERS 2 AND 3) DISCLAIMER: This may or may not be a comprehensive list, but it’s a very good start! Know all aspects of these topics; I may go beyond listed subtopics. CHAPTER 2: POLYNOMIAL AND RATIONAL FUNCTIONS Quadratic Functions and Parabolas (2.1) Leading Coefficients and “Opening” Direction Finding the Vertex, Intercepts, and Axis of Symmetry The Form y = a x h ( ) 2 + k : Obtaining by Completing the Square (CTS); Using Given points, find an equation of the connecting parabola Polynomial Functions of Higher Degree (2.2) Limits and ± “Long Run” Right-hand and Left-hand Behaviors Bowls and Snakes “Zoom Out” Dominance Property of Leading Terms Turning Points: finding the possible number of TPs Factor Theorem and Zeros Intermediate Value Theorem Long and Synthetic Polynomial Division (2.3) Obtaining the Form: polynomial ( ) + proper rational expression ( ) Remainder Theorem: f k ( ) = r Zeros, Factoring, and Division Complex Numbers (2.4)
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