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3.1
In a polynomial:
•
the exponent is a whole number
•
domain of the fcn is all real numbers
•
range is all real numbers, but
can be lower or upper bound.
•
graphs have no vertical or horizontal asymptotes
•
n=1
Linear
•
n=2
Quadratic
•
n=3
Cubic
•
n=4
Quartic
•
n=5
Quintic
3.2
End Behaviour
–
determined by the degree and leading coefficient
–
Even degrees have the same end behavior while odd degrees have opposite end behavior
Turning Points
 Any odd or even degree function has
n1
turning points at most
Zeros
 If the degree is odd, then the function has at least 1 zero and
n
zeros at most

If the degree is even, then the function can either 0 zeros or
n
zeros at most.
Max and Min:
 Not all functions have an absolute max or min
 If the degree is even, then you can have either an absolute max or min
3.3
•
The zeros of the polynomial function are the same as the roots of the related polynomial equation, f(x) = 0.
•
To find the eqn:
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This note was uploaded on 01/14/2012 for the course MAT 107 taught by Professor Sda during the Spring '11 term at Beacon FL.
 Spring '11
 sda
 Real Numbers, Asymptotes

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