SECTION 8.3 INTRODUCTION TODOMAIN AND RANGE
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I) TERMS: DOMAIN AND RANGE
Domain: All possible x-values (Input Numbers)that are allowed in a function
Range: All possible y-values (Output Numbers)that are allowed in a function
Ex: Find the Domain and Range:
x
y
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
-2
2
4
6
FIND THE DOMAIN AND RANGE FOR EACH GRAPH:
x
y
-5
-4
-3
-2
-1
0
1
2
3
4
5
-2
2
4
6
8
10
The domain can be ‘All Real Number’
x
y
-5
-4
-3
-2
-1
0
1
2
3
4
5
-2
2
4
6
8
10
x
y
0
1
2
3
4
5
6
7
1
2
3
4
5
6
7
x
y
0
1
2
3
4
5
6
7
1
2
3
4
5
6
7
x
y
-2
-1
0
1
2
3
4
5
6
7
8
9
-2
2
4
x
y
-5
-4
-3
-2
-1
0
1
2
3
4
5
-2
2
4
II) WHERE DOES THE RADICAL FUNCTION BEGIN?
A Radical function begins at the value of “x” wheneverything under the square root sign is equal to zero
x
y
-5
-4
-3
-2
-1
0
1
2
3
4
5
-2
2
4
x
y
-2
-1
0
1
2
3
4
5
6
7
8
9
-2
2
4