Calculus
Lesson
00
Background
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Back to Dr. Nandor's Calculus Page
1) Functions:
Definition: "for each x there is at most one y"
Use Vertical Line Test (show
or
more complicated for
counter example)
2) Solving 2 equations., 2 unknowns:
(graph and
solve)
3) Slope Definition:
4) Evaluating a function:
(same as above), then
write down:
5) Rules for finding domain:
a)
b)
c)
example:
example:
6) Transformations:
7) Polynomial degree:
: degree=5
In general:
(degree
N)
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Even Degree
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Odd Degree
8) Overall evenness or oddness of a function (as opposed to just even or odd degree):
Even:
(symmetry
about the y-axis)
Odd:
(symmetry
through the origin)
9) Composite functions:
examples:
Note that
!!! It can,
but it does not have to.