What are the domain and range of the relation? Is the relation a function? D={(0,0), (7,10), (1,16), (7,0)} The domain of the relation is { 0,7,1 }. (Use commas to separate answers. Type each answer only once.) The range of the relation is {0,10,16}. (Use commas to separate answers. Type each answer only once.) Is the relation a function? Choose the correct answer below. A. Yes, the relation is a function because no two different ordered pairs have the same first coordinate. B. No, the relation is not a function because two different ordered pairs have the same second coordinate. C. No, the relation is not a function because two different ordered pairs have the same first coordinate. D. Yes, the relation is a function because no two different ordered pairs have the same second coordinate. O
What are the domain and range of the relation? Is the relation a function? D={(0,0), (7,10), (1,16), (7,0)} The domain of the relation is { 0,7,1 }. (Use commas to separate answers. Type each answer only once.) The range of the relation is {0,10,16}. (Use commas to separate answers. Type each answer only once.) Is the relation a function? Choose the correct answer below. A. Yes, the relation is a function because no two different ordered pairs have the same first coordinate. B. No, the relation is not a function because two different ordered pairs have the same second coordinate. C. No, the relation is not a function because two different ordered pairs have the same first coordinate. D. Yes, the relation is a function because no two different ordered pairs have the same second coordinate. O
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.1: Relations And Functions
Problem 21E
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![### Understanding Domain and Range of a Relation
Given the relation:
\[ D = \{(0,0), (7,10), (1,16), (7,0)\} \]
#### Domain and Range
**Domain:**
The domain of the relation consists of all the first coordinates in the ordered pairs. For this relation, it is:
\[ \{0, 7, 1\} \]
(Use commas to separate answers. Type each answer only once.)
**Range:**
The range of the relation consists of all the second coordinates in the ordered pairs. For this relation, it is:
\[ \{0, 10, 16\} \]
(Use commas to separate answers. Type each answer only once.)
#### Function Determination
Is the relation a function? To determine this, recall that a function can have only one output (second coordinate) for each input (first coordinate). This means no two ordered pairs should have the same first coordinate unless they map to the same second coordinate.
**Multiple Choice Question:**
Choose the correct answer below.
**A.** Yes, the relation is a function because no two different ordered pairs have the same first coordinate.
**B.** No, the relation is not a function because two different ordered pairs have the same second coordinate.
**C.** No, the relation is not a function because two different ordered pairs have the same first coordinate.
**D.** Yes, the relation is a function because no two different ordered pairs have the same second coordinate.
From the given relation, we see that the pair (7,10) and (7,0) have the same first coordinate (7) but different second coordinates (10 and 0, respectively). Therefore, the relation is not a function.
Correct answer: **C. No, the relation is not a function because two different ordered pairs have the same first coordinate.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b70f989-f4fe-4180-9465-a46932af6785%2F76d245b0-2e34-42a1-adbf-d05c74e53582%2Fdg0w76_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Domain and Range of a Relation
Given the relation:
\[ D = \{(0,0), (7,10), (1,16), (7,0)\} \]
#### Domain and Range
**Domain:**
The domain of the relation consists of all the first coordinates in the ordered pairs. For this relation, it is:
\[ \{0, 7, 1\} \]
(Use commas to separate answers. Type each answer only once.)
**Range:**
The range of the relation consists of all the second coordinates in the ordered pairs. For this relation, it is:
\[ \{0, 10, 16\} \]
(Use commas to separate answers. Type each answer only once.)
#### Function Determination
Is the relation a function? To determine this, recall that a function can have only one output (second coordinate) for each input (first coordinate). This means no two ordered pairs should have the same first coordinate unless they map to the same second coordinate.
**Multiple Choice Question:**
Choose the correct answer below.
**A.** Yes, the relation is a function because no two different ordered pairs have the same first coordinate.
**B.** No, the relation is not a function because two different ordered pairs have the same second coordinate.
**C.** No, the relation is not a function because two different ordered pairs have the same first coordinate.
**D.** Yes, the relation is a function because no two different ordered pairs have the same second coordinate.
From the given relation, we see that the pair (7,10) and (7,0) have the same first coordinate (7) but different second coordinates (10 and 0, respectively). Therefore, the relation is not a function.
Correct answer: **C. No, the relation is not a function because two different ordered pairs have the same first coordinate.**
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