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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
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# 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
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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.)
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Section 5.2 (1) HW:
PG 341­342, #3­14 all & 24­36 all
(#28­36: List End Behavior only)
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