Math 8
Practice 3.1 Functions, Domain, Range
Name ________________________
Date: _____________
Block: ____
Identify the domain and the range of the relation:
1) (-2, -1), (-1, -3), (0, -5), (1, -7)
2) (12, 1), (10, 3), (8, 5), (6, 7)
3) (-4, -2), (-6, -3), (-8, -4), (-10, -5)
Domain: ___________________
Domain: __________________
Range: ____________________
Range: ___________________
Domain: __________________
Range: ___________________
4)
x
5
6
7
8
9
5)
y
1
2
–3
4
5
x
-2
-1
0
1
2
6)
y
8
8
8
8
8
x
-5
-7
-9
-11
-13
y
-1
-2
-3
-4
-5
Domain:
___________________
Domain: __________________
Range: ___________________
Domain: __________________
Range: ___________________
Range: ___________________
Is the relation a function? Yes or No? Circle the ordered pairs that cause the relation to be NOT a function.
x
5
-6
5
-2
-1
x
-2
-1
0
-1
-5
y
-5
9
3
8
7
7. ___________
x
1
0
2
3
4
y
0
4
8
6
5
8. ___________
Relation
Function?
11. (-5, -2), (-4, -3), (-5, -4), (3, 2)
y
5
8
0
4
6
9. _________
Domain
x
-9
7
-5
7
-6
y
9
8
5
8
6
10. __________
Range
12. (♥,☺ ), (■,♥), (▲,☺)
13. (a,1), (b,2), (c,3), (d,8), (e,1)
14. (2, 4), (-2, 4), (0, 1), (-8, 4)
15. (0,0), (1,1), (2,4), (3,9), (0,1)
16. Review the vocabulary:
______________ – a set of ordered pairs (x, y)
______________ – the x-coordinate of the relation
__________– collection of all the x-values of a function
__________– collection of all the y-values of a function
______________ - the y-coordinate of the relation
____________ has only one output for each input
Is the relation a function? Yes or No? Write the ordered pairs that can be formed from the map or table.
17.
18.
19.
17
8
6
2
5
9
7
3
-4
-11
8
4
3
-13
-1
1
20. Input
Output
3
8
6
0
21.
9
x
-2.5
-1.7
0.2
-1.7
-1.3
22.
y
1
4
3
6
0
x
-2
-1
0
-1
-5
y
1
4
3
4
0
Is each of these relations a function? Identify the domain, range. Recognize corresponding outputs for the given inputs.
23.
Function? ______
24.
Function? _________
Domain: _______________
Domain: ____________
Range: ________________
Range: _____________
a) If x = 1, then y =
a) If x = 1, then y =
b) If x = -1, then y =
b) If x = -1, then y =
Determine whether or not each graph is a function by applying the vertical line test.
Draw the vertical line and circle the ordered pairs that cause the relation to be NOT a function.
Write yes or no.
25.
26.
27.