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Transcript
Section 5.2 (DAY 1): Evaluate and Graph Polynomial Functions OBJECTIVES: Write a polynomial function in _______________ form and classify it. Identify the _______ ____________ of a polynomial function. Use direct substitution to ________ a function for a given value. Vocabulary: monomial: a number, variable, product of numbers/variables polynomial: monomial or sum of monomials ~ Exponents: whole #s (≥0) ~ Coefficients: real #s polynomial function: leading coefficient: an (≠0) degree: n (highest power) constant term: a0 (no variable) Standard form: terms are written in decreasing order of exponents from LEFT to RIGHT 1 # of terms: Example 1: Decide whether the function is a polynomial function. If so, write it in standard form. State the degree/type, leading coefficient, and the number of terms. a.) b.) c.) f(x) = 5x2+ 13x3 – 2x2 2 Example 1: Decide whether the function is a polynomial function. If so, write it in standard form. State the degree/type, leading coefficient, and the number of terms. d.) h(x) = 5x4 e.) f.) h(x) = 4x2 + 3 + 5x – 2x + 1 – 3x – 4x2 Example 1: Decide whether the function is a polynomial function. If so, write it in standard form. State the degree/type, leading coefficient, and the number of terms. g.) f(x) = 3x3 – 4x2 – 2 – 2x2 – 5 g.) h.) 3 4 Section 5.2 (1) HW: PG 341342, #314 all & 2436 all (#2836: List End Behavior only) 5