y >= 2 7045 12. For the relation {(3,3), (2,6), (3,9),(4,12),(5,15)}: a. Is this relation a function? b. Find the domain of the relation. c. Find the range of the relation.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question
### Problem 12: Understanding Relations and Functions

For the relation \(\{(3,3),(2,6),(3,9),(4,12),(5,15)\}\):

a. **Is this relation a function?**

b. **Find the domain of the relation.**

c. **Find the range of the relation.**

### Explanation

- **Relation:** A relation is a set of ordered pairs. In this case, the relation consists of the pairs \((3,3)\), \((2,6)\), \((3,9)\), \((4,12)\), and \((5,15)\).

- **Function:** A relation is considered a function if each input value (first element of the pairs) is associated with exactly one output value (second element of the pairs). Determine if there are any repeated input values with different output values.

- **Domain:** The domain consists of all the first elements of the ordered pairs. Identify all distinct input values in the relation.

- **Range:** The range consists of all the second elements of the ordered pairs. Identify all distinct output values in the relation.
Transcribed Image Text:### Problem 12: Understanding Relations and Functions For the relation \(\{(3,3),(2,6),(3,9),(4,12),(5,15)\}\): a. **Is this relation a function?** b. **Find the domain of the relation.** c. **Find the range of the relation.** ### Explanation - **Relation:** A relation is a set of ordered pairs. In this case, the relation consists of the pairs \((3,3)\), \((2,6)\), \((3,9)\), \((4,12)\), and \((5,15)\). - **Function:** A relation is considered a function if each input value (first element of the pairs) is associated with exactly one output value (second element of the pairs). Determine if there are any repeated input values with different output values. - **Domain:** The domain consists of all the first elements of the ordered pairs. Identify all distinct input values in the relation. - **Range:** The range consists of all the second elements of the ordered pairs. Identify all distinct output values in the relation.
Expert Solution
Step 1

solution

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning