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]

 

 

 

definition