Questions: Determine whether the relation is a function. Give the domain and range for the relation. (3,6),(3,7),(3,8) The domain of the relation is . (Use a comma to separate answers as needed.) The range of the relation is . (Use a comma to separate answers as needed.) Is the relation a function? Choose the correct answer below. Yes No

Determine whether the relation is a function. Give the domain and range for the relation.
(3,6),(3,7),(3,8)

The domain of the relation is .
(Use a comma to separate answers as needed.)
The range of the relation is .
(Use a comma to separate answers as needed.)
Is the relation a function? Choose the correct answer below.
Yes
No

Transcript text: Determine whether the relation is a function. Give the domain and range for the relation. \[ \{(3,6),(3,7),(3,8)\} \] The domain of the relation is $\square$ \}. (Use a comma to separate answers as needed.) The range of the relation is $\square$ \}. (Use a comma to separate answers as needed.) Is the relation a function? Choose the correct answer below. Yes No

Solution

Solution Steps

Step 1: Determine if the relation is a function

A relation is a function if each input (first element of the ordered pair) corresponds to exactly one output (second element of the ordered pair). In this case, the input $ 3 $ corresponds to three different outputs: $ 6 $, $ 7 $, and $ 8 $. Therefore, the relation is not a function.

Step 2: Find the domain of the relation

The domain of a relation is the set of all first elements of the ordered pairs. Here, the first elements are all $ 3 $. Thus, the domain is: \[ \{3\} \]

Step 3: Find the range of the relation

The range of a relation is the set of all second elements of the ordered pairs. Here, the second elements are $ 6 $, $ 7 $, and $ 8 $. Thus, the range is: \[ \{6, 7, 8\} \]