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The first column shows a sequence of numbers.

The first column shows a sequence of numbers. Second column shows the first difference. (-6) – (-4) = -2 If the pattern continues, what is the 8 th number in the first column?. 1074. Polynomial Functions. 5-1 Unit Objectives: Solve polynomial equations

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The first column shows a sequence of numbers.

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  1. The first column shows a sequence of numbers. Second column shows the first difference. (-6) – (-4) = -2 If the pattern continues, what is the 8th number in the first column? 1074

  2. Polynomial Functions 5-1 Unit Objectives: Solve polynomial equations Identify function attributes: domain, range, degree, relative maximums/minimums, zeros Write and graph polynomial functions Model situations with polynomial functions Today’s Objective: I can describe polynomial functions.

  3. Polynomial Function: Standard Form Polynomial: sum of monomials (terms) Degree of a polynomial: highest exponent Standard form: terms arranged by exponents in descending order Monomialterm Coefficient Real Number DegreeNonnegative integer Example:

  4. Classifying Polynomial Constant Monomial Linear Binomial Quadratic Trinomial Cubic polynomial of n terms Quartic Quintic nthdegree Write in standard form. Classify by degree & Terms quartic polynomial of 4 terms

  5. End Behavior and Turning Points Graph on your calculator window:[-5, 5, 1, -5, 5, 1] Graph each equation below Sketch each graph in your notes • a > 0 • ↑ and ↑ • ↓ and ↑ • a < 0 • ↑ and ↓ • ↓ and ↓ Turning Points: • At most n – 1

  6. Describing the shape of the graph End Behavior: Turning points: Increasing/decreasing intervals: Up and down Relative Maximum • (0.82, 1.09) At most two Decreasing: − ∞ to − 0.82 Relative Minimum Increasing: − 0.82 to 0.82 (-0.82, -1.09) Decreasing: + 0.82 to ∞ Pg. 285: #8-36 even, 47- 49

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