Download - Mat1000ppt Sess01
MATHEMATICS 1000
Calculus I
Lesson #1
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.
OBJECTIVES CONT’D
Perform the generalized graphing of common
functions such as:
Straight line
Quadratic
Square root
Absolute-value
NOTATION FOR INTERVALSThis lectures covers pages 1 – 11, sections 1.1 – 1.5.
a bo o
INEQUALITIES
1.
2.
3.
4.
ABSOLUTE VALUE
ABSOLUTE VALUE INEQUALITIES
if and only if
Example #1
which implies
SOME ANALYTIC GEOMETRY
A
B
ANALYTIC RESULT
DOMAIN AND RANGE OF A FUNCTION
http://www.youtube.com/watch?v=Ie_TExJdC
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Now for a short video:
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
STRAIGHT LINE PLOT
General Form:
Example:
EXAMPLE #1 RESULT
Does your plot look like this?
What did you do wrong or right?
QUADRATIC FUNCTION PLOT
General Form:
Example:
EXAMPLE #2 RESULT
Does your plot look like this?
What did you do wrong or right?
SQUARE-ROOT FUNCTION PLOT
General Form:
Example:
EXAMPLE #3 RESULT
Does your plot look like this?
What did you do wrong or right?
ABSOLUTE VALUE FUNCTION PLOT
General Form:
Example:
EXAMPLE #4 RESULT
Does your plot look like this?
What did you do wrong or right?