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 n-1 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.