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...
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Problem
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Ling 310, adapted from UMass Ling 409, Partee lecture notes. March 1, 2006 p. 1
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Graphs of Basic Functions. There are six basic functions that we are going to explore in this section. We will graph the
1.
Graphs of Basic Functions There are six basic functions that we are going to explore in this section. We will graph the function and state the domain and range of each function. The six basic functions are the following: 1.
( )
4.
( )
√
2.
( )
5.
( )
| |
3.
( )
6.
( )
( ) Make a table of ordered pairs that satisfy ( ) Remember y = ( ) (
)
(
)
( )
x
-2
-1
0
1
2
y
-2
-1
0
1
2
( ) ( )
Figure 1.1
These ordered pairs indicate a graph in the shape shown in Figure 1.1. The ) and the range is ( ). domain is (
( ) Make a table of ordered pairs that satisfy ( ) Remember y = ( ) (
)
(
)
(
)
(
)
( )
( )
( )
( )
( )
( )
x
-2
-1
0
1
2
y
4
1
0
1
4
Figure 1.2
These ordered pairs indicate a graph in the shape shown in Figure 1.2. The ) and the range is[ ). domain is (
( ) Make a table of ordered pairs that satisfy ( ) Remember y = ( ) (
)
(
)
(
)
(
)
( )
( )
( )
( )
( )
( )
x
-2
-1
0
1
2
y
-8
-1
0
1
8
Figure 1.3
These ordered pairs indicate a graph in the shape shown in Figure 1.3. The ) and the range is ( ). domain is (
( )
√
Make a table of ordered pairs that satisfy ( ) Remember y = ( ) √
√
(
)
√
(
)
(
)
√
(
)
( )
√
x
-2
-1
0
1
4
( )
√
y
und.
und.
0
1
2
( )
√
Figure 1.4
These ordered pairs indicate a graph in the shape shown in Figure 1.4. The ) and the range is [ ). domain is [
( )
| |
Make a table of ordered pairs that satisfy ( ) Remember y = ( ) | | (
)
|
|
(
)
|
|
( )
| |
( )
| |
( )
| |
| |
x
-2
-1
0
1
2
y
2
1
0
1
2
Figure 1.5
These ordered pairs indicate a graph in the shape shown in Figure 1.5. The ) and the range is [ ). domain is (
( ) Make a table of ordered pairs that satisfy ( ) Remember y = ( ) (
)
(
)
( )
x
-2
-1
0
1
2
y
⁄
-1
und.
1
⁄
( ) ( )
Figure 1.6
These ordered pairs indicate a graph in the shape shown in Figure 1.6. The ) ( ) and the range is( ) ( ). domain is (