The Reciprocal Function
Consider the relation
Create a table of values and graph. Is it a function?
What are the domain and range?
x y
4
2
1
0.5
0.2
0.1
0
Feb 22­9:25 PM
The reciprocal function, Feb 23­9:20 PM
1
A line that a curve approaches, but never touches,
is called an asymptote. The reciprocal function has
two asymptotes:
Vertical Asymptote (VA): x = 0
Horizontal Asymptote (HA): y = 0
Note how these asymptotes correspond to the
restrictions on the domain and range of the function.
Feb 27­10:16 PM
Ex.1 Given
(a) graph the function
(b) state the domain and range
(c) determine the inverse
(d) graph the inverse
(e) restrict f(x) to make the inverse a function
Feb 27­10:27 PM
2
Feb 28­10:57 AM
Assigned Work:
Worksheet on interpreting function notation
Feb 10­10:23 PM
3
Mar 1­10:28 AM
Mar 1­10:37 AM
4
Mar 1­10:41 AM
5