Bell Problem Simplify the expression.. 5.2 Evaluate and Graph Polynomial Standards: 1.Analyze situations using algebraic symbols 2.Analyze changes in.

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Presentation transcript:

Bell Problem Simplify the expression.

5.2 Evaluate and Graph Polynomial Standards: 1.Analyze situations using algebraic symbols 2.Analyze changes in quantities

Polynomial Polynomial- a monomial or a sum of monomials Polynomial function- a function of the form Leading coefficient- a n Degree- n Constant term- a 0 Standard Form-terms are written in descending order of exponents from left to right

Common Polynomial Functions

Ex. Decide whether the function is a polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient.

Ex. Use direct substitution to evaluate f(x) = 2x 4 – 5x 3 – 4x + 8 when x = 3.

Ex. Use direct substitution to evaluate the polynomial function for the given value of x. f(x)=x 4 + 2x 3 + 3x 2 – 7; x = -2

Ex. Use synthetic division to evaluate f(x) = 2x 4 – 5x 3 – 4x + 8 when x = 3

Ex. Use synthetic division to evaluate: f(x) = 5x 3 + 3x 2 – x + 7; x = 2

Homework pg. 341 #4-18 even

Bell Problem Decide whether the function is a polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient: f(x) = 8 – x 2

End Behavior of Polynomial Functions The end behavior of a function’s graph is the behavior of the graph as x approaches positive infinity ____ or negative infinity ____.

Describe the degree and leading coefficient of the polynomial function whose graph is shown.

Ex. Graph f(x) = -x 3 + x 2 + 3x - 3 xy

Ex. Graph f(x) = x 4 – x 3 – 4x xy

Homework 5.2 Practice B Worksheet #2-14 even