Pre-Cal 30S January 9, 2009
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Transcript of Pre-Cal 30S January 9, 2009
Baby Playor
All About Inverse
Functions
duck wrangling by toyfoto
For each of the following functions, identify the inner function g(x) and the outer function F(x).
Chain Linkage
Many-to-one functionMore than one member of the domain is mapped to a single member of the range.
1
4
9
-2
5
http://fooplot.com
-2
mapping
outputinputdomain range
Function where each (one) member of the domain is mapped to a unique (one) member of the range.
One-to-one function
1
4
9
-2
5
7
http://fooplot.com
Used only on the graphs of functions. (i.e the vertical line test has already been satisfied).
Horizontal line test
Sweep a horizontal line across the graph of any function if the line crosses the graph more than once the function is many-to-one if the line crosses the graph everywhere exactly once then the function is one-to-one.
Baby Playor
All About Inverse
Functions
duck wrangling by toyfoto
Inverses ...The concept ...
Numerically speaking ...
Inverses ...Algebraically speaking ...
Conceptually analyzing the function ...
Inverses ...
Graphically speaking ...
Find the inverse:
-2-1012
127-350
x y-2-1012
127-350
x y