6.2 Evaluating and Graphing Polynomials

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Presentation transcript:

6.2 Evaluating and Graphing Polynomials

Concept #1 Polynomials types by degree. Degree Type Standard form 0 Constant 𝑓 𝑥 =𝑎𝑛𝑦 # 1 Linear 𝑓 𝑥 = 2 Quadratic 𝑓 𝑥 = 3 Cubic 𝑓 𝑥 = 4 Quartic 𝑓 𝑥 =

Concept #2 Is a function a polynomial? Rules All exponents with variables are integers ≥0. Exponents are never negative . Exponents are never variables. Exponents are never fractions or decimals. Writing in standard form goes from largest exponent to the constant.

Concept #3 Direct and synthetic substitution. Example #1 Direct substitution for 𝑓 𝑥 = 2𝑥 3 + 5𝑥 2 −7𝑥+20 When x=-3 Now do synthetic

Concept #4 End Behavior all that matters is Degree and Lead coefficient Positive LC and even power Negative LC and even power Positive LC and odd power Negative LC and odd power

Homework 6.2 pg 333 #15-35 odd #38-46 Even #49-63 odd Love Bonin