Answered

Find answers to your questions faster and easier with IDNLearn.com. Ask your questions and receive accurate, in-depth answers from our knowledgeable community members.

7. Which of the following relations is NOT a function?

A. [tex]\{(0,1),(1,1),(2,1),(3,1)\}[/tex]

B. [tex]\{(0,0),(3,4),(5,6),(8,9)\}[/tex]

C. [tex]\{(0,0),(2,2),(4,4),(6,6)\}[/tex]

D. [tex]\{(0,1),(0,2),(0,3),(0,4)\}[/tex]

Sagot :

GinnyAnsweridn
To determine which of the given relations is NOT a function, we must examine each relation to see if it satisfies the definition of a function. Specifically, a function relates each input to exactly one output.

Relation 1: [tex]\(\{(0,1),(1,1),(2,1),(3,1)\}\)[/tex]
- Input 0 maps to 1.
- Input 1 maps to 1.
- Input 2 maps to 1.
- Input 3 maps to 1.
Each input has exactly one unique output, so this relation is a function.

Relation 2: [tex]\(\{(0,0),(3,4),(5,6),(8,9)\}\)[/tex]
- Input 0 maps to 0.
- Input 3 maps to 4.
- Input 5 maps to 6.
- Input 8 maps to 9.
Each input has exactly one unique output, so this relation is a function.

Relation 3: [tex]\(\{(0,0),(2,2),(4,4),(6,6)\}\)[/tex]
- Input 0 maps to 0.
- Input 2 maps to 2.
- Input 4 maps to 4.
- Input 6 maps to 6.
Each input has exactly one unique output, so this relation is a function.

Relation 4: [tex]\(\{(0,1),(0,2),(0,3),(0,4)\}\)[/tex]
- Input 0 maps to 1.
- Input 0 maps to 2.
- Input 0 maps to 3.
- Input 0 maps to 4.
Input 0 maps to multiple outputs (1, 2, 3, and 4), which means this relation does not satisfy the criteria for a function.

Therefore, the relation [tex]\(\{(0,1),(0,2),(0,3),(0,4)\}\)[/tex] is NOT a function.

The answer to the question is:

4. [tex]\(\{(0,1),(0,2),(0,3),(0,4)\}\)[/tex]
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.