Lesson 1.7 : Determine whether each relation is a function
Yes it is a function because it follows the definition of a function.
1. Input, x 0 1 2 3 4 Output, y 8 8 8 8 8
Yes it is a function because each input has one output.
10. (-2,2), (-1,2), (0,2), (1,0), (2,0)
Not a function because 4 has more than one output.
11. (4,0), (8,7), (6,4), (4,3), (5,2)
Not a function because 0 has more than one output.
12. Input, x -2 -1 0 0 1 2 Output, y 3 4 5 6 7 8
Yes it is a function because each input has exactly one output.
13. Input,x Output,y -1____________4 3___________15 11___________15
Not a function because 5 has more than one output.
14. (-5,0), (0,0), (5,0), (5,10)
Yes it is a function because each input has exactly one output.
15. (-4,8), (-1,2), (2,-4), (5,-10)
Yes it is a function because each input has exactly one output.
16. Input, x Output, y 2_____________2.6 4_____________5.2 6_____________7.8
No it isn't a function because 1/2 has more than one output.
17. Input, x Output, y 1/2____________-2 1/2____________0 1/2____________4
Not a function because the input 8 has many outputs, when it only can have one.
2. Input, x 8 8 8 8 8 Output, y 0 1 2 3 4
Not a function because the input 3 has two outputs.
3. Input, x Output, y 1____________8 2___________9 3___________10 3___________11
Yes it is a function because each input has exactly one output.
4. (-2,5), (-1,8), (0,6), (1,6), (2,7)
Not a function because -1 has more than one output.
5. (-2,5), (-1,0), (-1,1), (0,1), (1,2), (2,2)
Yes it is a function because x has exactly one output.
6. Each radio frequency x in a listening area has exactly one radio station y.
Not a function because there is more than one output.
7. The same television station x can be found on more than one channel y.
Not a function because there is more than one output.
8. x= 2
Yes it is a function because each output has exactly one output.
9. y= 2x+3