Question
List the domain and range of the relation.
{(4,negative 3), (9,9), (0,negative 3), (9,1) (4,3)}
Question content area bottom
Part 1
The domain is StartSet nothing EndSet
. (Use a comma to separate answers as needed.)
{(4,negative 3), (9,9), (0,negative 3), (9,1) (4,3)}
Question content area bottom
Part 1
The domain is StartSet nothing EndSet
. (Use a comma to separate answers as needed.)
Answers
GPT-4o mini
To identify the domain and range of the given relation, we take note of the ordered pairs provided:
\[
\{(4, -3), (9, 9), (0, -3), (9, 1), (4, 3)\}
\]
**Domain**: The domain consists of all the first elements (x-values) of the ordered pairs.
From the pairs:
- The x-values are: \(4, 9, 0, 9, 4\)
Unique x-values (removing duplicates):
- \(0, 4, 9\)
So, the domain is:
\[
\text{Domain} = \{0, 4, 9\}
\]
**Range**: The range consists of all the second elements (y-values) of the ordered pairs.
From the pairs:
- The y-values are: \(-3, 9, -3, 1, 3\)
Unique y-values (removing duplicates):
- \(-3, 9, 1, 3\)
So, the range is:
\[
\text{Range} = \{-3, 1, 3, 9\}
\]
### Final answer:
- **Domain**: \(\{0, 4, 9\}\)
- **Range**: \(\{-3, 1, 3, 9\}\)
\[
\{(4, -3), (9, 9), (0, -3), (9, 1), (4, 3)\}
\]
**Domain**: The domain consists of all the first elements (x-values) of the ordered pairs.
From the pairs:
- The x-values are: \(4, 9, 0, 9, 4\)
Unique x-values (removing duplicates):
- \(0, 4, 9\)
So, the domain is:
\[
\text{Domain} = \{0, 4, 9\}
\]
**Range**: The range consists of all the second elements (y-values) of the ordered pairs.
From the pairs:
- The y-values are: \(-3, 9, -3, 1, 3\)
Unique y-values (removing duplicates):
- \(-3, 9, 1, 3\)
So, the range is:
\[
\text{Range} = \{-3, 1, 3, 9\}
\]
### Final answer:
- **Domain**: \(\{0, 4, 9\}\)
- **Range**: \(\{-3, 1, 3, 9\}\)