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MATH 102 College Algebra Flashcards
MATH 102 College Algebra Flashcards CSUN
12
Mathematics
Undergraduate 1
12/09/2011

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Term
Smooth Functions
Definition
No cusps or corners
Term
Continuous Functions
Definition
No Holes or Gaps
Term
Multiplicity
Definition
(x-r)^m

r is a zero of multiplicity m
Term
Graphs of even multiplicity
Definition
touches the X-axis
Term
Graphs of odd multiplicity
Definition
Cross the x-axis
Term
Turning Points
Definition
x^n has at most n-1 turning points
x^5 has at most 4 turning points
Term
Horizontal Asymptotes
Definition
Den=Numer

Horizontal Asymptote= ratio of coefficients
Term
Vertical
Definition
Small/Big

y=0
Term
Oblique Asymptotes
Definition
When Big/Small

Cross multiply to find oblique asymptote
Term
Descartes Rule of Signs
Definition
The number of [+] real zeros < or = the number of sign changes by an even number

The number of [-] real zeros < or = the number of sign changes by an even number for F(-x)
Term
zeros must be factors of what?
Definition
p/q
Term
Bounds on zeros
Definition
max{1, |ao+a1+...|}

1+max {ao, a1...|
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