mat1000ppt sess01
DESCRIPTION
Lesson #1 NotesTRANSCRIPT
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MATHEMATICS 1000
Calculus I
Lesson #1
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OBJECTIVES OF THIS LESSON
Distinguish notation for intervals and
functions.
Analyze inequalities, absolute value, and
absolute value inequalities.
Adopt basic analytic geometry concepts.
Adopt concepts of domain and range of a
function.
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OBJECTIVES CONT’D
Perform the generalized graphing of common
functions such as:
Straight line
Quadratic
Square root
Absolute-value
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NOTATION FOR INTERVALSThis lectures covers pages 1 – 11, sections 1.1 – 1.5.
a bo o
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INEQUALITIES
1.
2.
3.
4.
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ABSOLUTE VALUE
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ABSOLUTE VALUE INEQUALITIES
if and only if
Example #1
which implies
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SOME ANALYTIC GEOMETRY
A
B
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ANALYTIC RESULT
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DOMAIN AND RANGE OF A FUNCTION
http://www.youtube.com/watch?v=Ie_TExJdC
Qw
Now for a short video:
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GRAPHING “COMMON” FUNCTIONS
1. Recognize function type and recall general
shape.
2. Make note of Domain.
3. Create table of values.
4. Plot points and join appropriately.
Common Steps to Produce Graph
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STRAIGHT LINE PLOT
General Form:
Example:
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EXAMPLE #1 RESULT
Does your plot look like this?
What did you do wrong or right?
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QUADRATIC FUNCTION PLOT
General Form:
Example:
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EXAMPLE #2 RESULT
Does your plot look like this?
What did you do wrong or right?
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SQUARE-ROOT FUNCTION PLOT
General Form:
Example:
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EXAMPLE #3 RESULT
Does your plot look like this?
What did you do wrong or right?
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ABSOLUTE VALUE FUNCTION PLOT
General Form:
Example:
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EXAMPLE #4 RESULT
Does your plot look like this?
What did you do wrong or right?