bell problem simplify the expression.. 5.2 evaluate and graph polynomial standards: 1.analyze...
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Bell ProblemSimplify 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- an
Degree- nConstant term- a0
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) = 2x4 – 5x3 – 4x + 8 when x = 3.
Ex. Use direct substitution to evaluate the polynomial function for the given value of x.f(x)=x4 + 2x3 + 3x2 – 7; x = -2
Ex. Use synthetic division to evaluate f(x) = 2x4 – 5x3 – 4x + 8 when x = 3
Ex. Use synthetic division to evaluate: f(x) = 5x3 + 3x2 – x + 7; x = 2
Homework
pg. 341 #4-18 even
Bell ProblemDecide 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 – x2
End Behavior of Polynomial FunctionsThe 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) = -x3 + x2 + 3x - 3
x y-3-2-10123
Ex. Graph f(x) = x4 – x3 – 4x2 + 4
x y-3-2-10123
Homework
5.2 Practice B Worksheet #2-14 even