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Willie's Calculus 1
Some calculus theorems, vocabulary, etc.
7
Mathematics
12th Grade
08/30/2007

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Term
function
Definition
a pairing of inputs and outputs where EACH INPUT HAS EXACTLY ONE OUTPUT.
Term
domain
Definition
the set of all inputs
Term
range
Definition
the set of all outputs
Term
polynomial function
Definition
A function where--when each term is in power form--the exponents are all non-negative integers.

(POSITIVE WHOLE NUMBER EXPONENTS ONLY!!!)
Term
rational function
Definition
"polynomial over polynomial"
Term
composition of functions
Definition
f(g(x))

(a function used as an input for another function)
Term
A real number, L, is a limit of f(x) as x approaches c iff
Definition
For every epsilon > 0 there is a delta > 0 such that if 0<|x-c|<delta then |f(x)-L|<epsilon
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