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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.6: Relations
Problem 43PFA
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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.
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