QuestionHeights of friends: 62, 66, 65, 66, 67. Find the domain, range, and determine if it's a function.

Studdy Solution

STEP 1

Assumptions1. The heights of Balley's friends are given in inches. . The friends' names are Balley, Ling, Ela, Omar, and Alma.
3. The heights of the friends are Balley,62; Ling,66; Ela,65; Omar,66; Alma,67.

STEP 2

In mathematics, a relation is a set of ordered pairs. In this case, the relation is the set of pairs of friends' names and their corresponding heights.

STEP 3

Let's write down the relation as a set of ordered pairs. Each pair consists of a friend's name and their height.
$Relation = \{ (Balley,62), (ing,66), (la,65), (mar,66), (Alma,67) \}$

STEP 4

The domain of a relation is the set of all first elements of the ordered pairs. In this case, the domain is the set of all friends' names.
$Domain = \{ Balley, Ling, Ela, Omar, Alma \}$

STEP 5

The range of a relation is the set of all second elements of the ordered pairs. In this case, the range is the set of all heights.
$Range = \{62,66,65,67 \}$

STEP 6

A relation is a function if each element in the domain corresponds to exactly one element in the range. In other words, no two different ordered pairs in the relation have the same first element.

STEP 7

Looking at the relation, we can see that each friend's name (each element in the domain) corresponds to exactly one height (one element in the range). No two different ordered pairs in the relation have the same first element.
Therefore, the relation is a function.

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QuestionHeights of friends: 62, 66, 65, 66, 67. Find the domain, range, and determine if it's a function.

Studdy Solution

STEP 1

Assumptions1. The heights of Balley's friends are given in inches. . The friends' names are Balley, Ling, Ela, Omar, and Alma.
3. The heights of the friends are Balley,62; Ling,66; Ela,65; Omar,66; Alma,67.

STEP 2

In mathematics, a relation is a set of ordered pairs. In this case, the relation is the set of pairs of friends' names and their corresponding heights.

STEP 3

Let's write down the relation as a set of ordered pairs. Each pair consists of a friend's name and their height.
$Relation = \{ (Balley,62), (ing,66), (la,65), (mar,66), (Alma,67) \}$

STEP 4

The domain of a relation is the set of all first elements of the ordered pairs. In this case, the domain is the set of all friends' names.
$Domain = \{ Balley, Ling, Ela, Omar, Alma \}$

STEP 5

The range of a relation is the set of all second elements of the ordered pairs. In this case, the range is the set of all heights.
$Range = \{62,66,65,67 \}$

STEP 6

A relation is a function if each element in the domain corresponds to exactly one element in the range. In other words, no two different ordered pairs in the relation have the same first element.

STEP 7

Looking at the relation, we can see that each friend's name (each element in the domain) corresponds to exactly one height (one element in the range). No two different ordered pairs in the relation have the same first element.
Therefore, the relation is a function.

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QuestionHeights of friends: 62, 66, 65, 66, 67. Find the domain, range, and determine if it's a function.

Studdy Solution

STEP 1

Assumptions1. The heights of Balley's friends are given in inches. . The friends' names are Balley, Ling, Ela, Omar, and Alma.3. The heights of the friends are Balley,62; Ling,66; Ela,65; Omar,66; Alma,67.

STEP 2

In mathematics, a relation is a set of ordered pairs. In this case, the relation is the set of pairs of friends' names and their corresponding heights.

STEP 3

Let's write down the relation as a set of ordered pairs. Each pair consists of a friend's name and their height.Relation={(Balley,62),(ing,66),(la,65),(mar,66),(Alma,67)}Relation = \{ (Balley,62), (ing,66), (la,65), (mar,66), (Alma,67) \}Relation={(Balley,62),(ing,66),(la,65),(mar,66),(Alma,67)}

STEP 4

The domain of a relation is the set of all first elements of the ordered pairs. In this case, the domain is the set of all friends' names.Domain={Balley,Ling,Ela,Omar,Alma}Domain = \{ Balley, Ling, Ela, Omar, Alma \}Domain={Balley,Ling,Ela,Omar,Alma}

STEP 5

The range of a relation is the set of all second elements of the ordered pairs. In this case, the range is the set of all heights.Range={62,66,65,67}Range = \{62,66,65,67 \}Range={62,66,65,67}

STEP 6

A relation is a function if each element in the domain corresponds to exactly one element in the range. In other words, no two different ordered pairs in the relation have the same first element.

STEP 7

Looking at the relation, we can see that each friend's name (each element in the domain) corresponds to exactly one height (one element in the range). No two different ordered pairs in the relation have the same first element.Therefore, the relation is a function.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions1. The heights of Balley's friends are given in inches. . The friends' names are Balley, Ling, Ela, Omar, and Alma.
3. The heights of the friends are Balley,62; Ling,66; Ela,65; Omar,66; Alma,67.

Let's write down the relation as a set of ordered pairs. Each pair consists of a friend's name and their height.
$Relation = \{ (Balley,62), (ing,66), (la,65), (mar,66), (Alma,67) \}$

The domain of a relation is the set of all first elements of the ordered pairs. In this case, the domain is the set of all friends' names.
$Domain = \{ Balley, Ling, Ela, Omar, Alma \}$

The range of a relation is the set of all second elements of the ordered pairs. In this case, the range is the set of all heights.
$Range = \{62,66,65,67 \}$

Looking at the relation, we can see that each friend's name (each element in the domain) corresponds to exactly one height (one element in the range). No two different ordered pairs in the relation have the same first element.
Therefore, the relation is a function.