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Transcript
Polynomial Functions 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 End Behavior Leading Coefficient Essential Notes Polynomial: One term or the sum/difference of two or more terms. To be a polynomial: • Variable Bases • Whole number exponents • Real number coefficients The degree of a polynomial is the same as the largest exponent. We write polynomials in standard form which means write exponents in descending order from left to right. When in standard form, the leading coefficient is the number in the front. Classifying Polynomials Degree • Constant • Linear • Quadratic • Cubic • Quartic • Quintic Number of Terms • • • • Monomial Binomial Trinomial Poly w/ # terms End Behavior Describes the ends of the graph as x approaches ±∞ Even Function: highest exponent is even # LC: + 𝒙 → +∞, 𝒚 → +∞ 𝒙 → −∞, 𝒚 → +∞ LC: − 𝒙 → +∞, 𝒚 → −∞ 𝒙 → −∞, 𝒚 → −∞ Odd Function: highest exponent is odd # LC: + 𝒙 → +∞, 𝒚 → +∞ 𝒙 → −∞, 𝒚 → −∞ LC: − 𝒙 → +∞, 𝒚 → −∞ 𝒙 → −∞, 𝒚 → +∞ x and y same x and y opposite Homework 6.1: Pages 99-100 3-8, 24-27, 28-36 even, 54 Pages107-109 10-12, 59
