3.1 Extra Practice
For exercises 1-6, decide whether each graph is the graph of a function. Then determine domains and range.
1.
(a) Is it a function?
(b) Range:
(c) Domain:
2.
(a) Is it a function?
(b) Range:
(c) Domain:
3.
(a) Is it a function?
(b) Range:
(c) Domain:
4.
(a) Is it a function?
(b) Range:
(c) Domain:
5.
(a) Is it a function?
(b) Range:
(c) Domain:
6.
(a) Is it a function?
(b) Range:
(c) Domain:
For exercises 7-12, use each table to determine whether the relation is a function. Then determine the domain and range.
7.
x | 2 | 4 | 6 | 8 | 10 |
---|---|---|---|---|---|
y | 1 | 3 | 5 | 7 | 9 |
(a) Is it a function?
(b) Range:
(c) Domain:
8.
x | 2 | 2 | 4 | 4 | 6 |
---|---|---|---|---|---|
y | -5 | 0 | 5 | 10 | 15 |
(a) Is it a function?
(b) Range:
(c) Domain:
9.
x | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
y | -5 | -5 | 5 | 5 | 15 |
(a) Is it a function?
(b) Range:
(c) Domain:
10.
x | 0 | 5 | 10 | 15 | 20 |
---|---|---|---|---|---|
y | 3 | 6 | 9 | 12 | 15 |
(a) Is it a function?
(b) Range:
(c) Domain:
11.
x | -9 | 7 | 0 | 3 | -4 |
---|---|---|---|---|---|
y | -2 | 12 | -6 | 7 | 12 |
(a) Is it a function?
(b) Range:
(c) Domain:
12.
x | -4 | 9 | 2 | -4 | 6 |
---|---|---|---|---|---|
y | -10 | 8 | 2 | -3 | 14 |
(a) Is it a function?
(b) Range:
(c) Domain:
For exercises 13-18, determine whether each relation is a function. Then determine the domain and range.
13. {(0, -7), (2, 5), (-3, 1), (-8, 0)}
(a) Is it a function?
(b) Range:
(c) Domain:
14. {(3, -5), (8, -6), (3, 7), (5, 9)}
(a) Is it a function?
(b) Range:
(c) Domain:
15. {(-4, 7), (2, -3), (7, 7), (-5, 1)}
(a) Is it a function?
(b) Range:
(c) Domain:
16. {(0, -4), (0, 2), (0, 1), (0, 0)}
(a) Is it a function?
(b) Range:
(c) Domain:
17. {(8, -3), (2, -3), (9, -3), (-1, -3)}
(a) Is it a function?
(b) Range:
(c) Domain:
18. {(9, 7), (4, 3), (-2, 0), (9, 1)}
(a) Is it a function?
(b) Range:
(c) Domain:
Extra Practice with Functions as Equations
Determine if the following is an equation of a function or not. Explain your reasoning clearly.
1) [latex]x+y^{2}=4[/latex]
2) [latex]x^{2}+y^{2}=4[/latex]
3) [latex]\left| x-1 \right|+y=2[/latex]
4) [latex]y=x^{2}-1[/latex]
5) [latex]x=\sqrt{y-1}[/latex]
6) [latex]\left| x \right|+\left| y \right|=5[/latex]
A relationship between a set of input values and a set of output values, such that each input value is matched to EXACTLY ONE output value.