Polynomial Functions And Quadratic Models Worksheet - Lecture 6, University Of Florida
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12L6 - 1
Lecture 6: Sections 2.2 and 2.3
Polynomial Functions, Quadratic Models
Polynomial Functions
Def. A polynomial function of degree n is a
function of the form
n
n 1
f (x) = a
x
+ a
x
+ ... + a
x + a
, (a
= 0)
n
n 1
1
0
n
where a
, a
, ..., a
are constants called coefficients
0
1
n
and n is a nonnegative integer.
a
is called the leading coefficient.
n
ex. Determine if the given function is a polynomial;
if so, find its degree.
2
8
6
2
1) f (x) = 4x
x
4x
+
3
5
2
3
2
2) f (x) = x
+ 4x
x
NOTE: The domain of a polynomial function
A polynomial function of degree 1:
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