
<p>Precalculus Chapter 2Polynomial, Power, and Rational Functions</p><p>Section 1: Linear and Quadratic Functions and Modeling (pages 170 – 187) Objective: Students will be able to recognize and graph linear and quadratic functions, and use these functions to model situations and solve problems.</p><p>Self Assessment Exercises: # 3, 7, 21, 31, 33, 40, 49, 55, 61, & 63.</p><p>Section 2: Power Functions with Modeling (pages 188 – 199) Objective: Students will be able to sketch power functions in the form of f(x) = k xa (where k and a are rational numbers).</p><p>Self Assessment Exercises: #3, 10, 13, 17, 27, 33, 43, 55, 57, & 66. </p><p>Section 3: Polynomial Functions of Higher Degree with Modeling (pages 200 – 213) Objective: Students will be able to graph polynomial functions, predict their end behavior, and find their real zeros using a grapher or an algebraic method.</p><p>Self Assessment Exercises: # 3, 7, 15, 19, 33, 36, 41, 59, 61, 63, 67, & 75. </p><p>Section 4: Real Zeros of Polynomial Functions (pages 214 – 227) Objective: Students will be able to divide polynomials using long division or synthetic division; to apply the Remainder Theorem, Factor Theorem, and Rational Zeros Theorem; and find upper and lower bounds for zeros of polynomials.</p><p>Self Assessment Exercises: #3, 7, 15, 19, 27, 33, 35, 37, 49, 55, 62, & 71.</p><p>Section 5: Complex Zeros and the Fundamental Theorem of Algebra (pages 228 – 236) Objective: Students will be able to factor polynomials with real coefficients using factors with complex coefficients.</p><p>Self Assessment Exercises: #3, 7, 15, 29, 33, 37, 42, & 44.</p><p>Section 6: Graphs of Rational Functions (pages 237 – 247) Objective: Students will be able to describe the graphs of rational functions, identify horizontal and vertical asymptotes, and predict the end behavior of rational functions.</p><p>Self Assessment Exercises: #1, 9, 19, 29, 39, 41, 44, 47, 55, & 72.</p><p>Section 7: Solving Equations in One Variable (pages 248 – 256) Objective: Students will be able to solve equations involving fractions using both algebraic and graphical techniques and identify extraneous solutions.</p><p>Self Assessment Exercises: #3, 7, 13, 17, 31, 35, 37, & 39. Precalculus Chapter 2Polynomial, Power, and Rational Functions</p><p>Section 8: Solving Equations in Two Variables (pages 257 – 267) Objective: Students will be able to solve inequalities involving polynomials and rational functions by using both algebraic and graphical techniques.</p><p>Self Assessment Exercises: #1, 11, 15, 21, 25, 43, 49, 53, 54, 59, & 61.</p><p>Chapter Test: Key Ideas to Know for the Test Properties, Theorems, and Formulas</p><p>Properties of the Correlation Coefficient (174)</p><p>Vertex Form of a Quadratic Function (178)</p><p>Vertical Free-Fall Motion (180)</p><p>Theorem Local Extrema and Zeros of Polynomial Functions (202)</p><p>Leading Term Test for Polynomial End Behavior ((204)</p><p>Zeros of Odd/Even Multiplicity (206)</p><p>Intermediate Value Theorem (206)</p><p>Division Algorithm for Polynomials (214)</p><p>Remainder Theorem (215)</p><p>Factor Theorem (216)</p><p>Rational Zeros Theorem (219)</p><p>Fundamental Theorem of Algebra (228)</p><p>Linear Factorization Theorem (228)</p><p>Complex Conjugate Zeros Theorem (230)</p><p>Factors of a Polynomial with Real Coefficients (232)</p><p>Polynomial Function of Odd Degree (233)</p><p>Graph of a Rational Function (240)</p><p>Procedures</p><p>Regression Analysis (176)</p><p>Polynomial Long Division (214) Precalculus Chapter 2Polynomial, Power, and Rational Functions</p><p>Synthetic Division (218) </p><p>Solving Inequalities Using Sign Charts (257)</p><p>Chapter Project: page 273.</p>
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