Inverse functions.

1. Baby Play
or
All About
Inverse
Functions
duck wrangling by toyfoto

2. For each of the following functions, identify the inner function g(x)
and the outer function F(x).
Chain Linkage

3. Many-to-one function
More than one member of the domain is mapped to a single
member of the range.
http://fooplot.com
1 -2
mapping
4 5
9 -2
output
input
range
domain

4. One-to-one function
Function where each (one) member of the domain is mapped to
a unique (one) member of the range.
http://fooplot.com
1 -2
4 5
9 7

5. Horizontal line test
Used only on the graphs of functions. (i.e the vertical line test
has already been satisfied).
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.

6. Baby Play
or
All About
Inverse
Functions
duck wrangling by toyfoto

7. Inverses ...
The concept ...
Numerically speaking ...

8. Inverses ...
Algebraically speaking ...
Conceptually analyzing the function ...

9. Inverses ...
Graphically speaking ...

10. Find the inverse:
x x
y y
12
-2 -2
12
7
-1 -1
7
-3
0 0
-3
5 5
1 1
0 0
2 2