Answered

What are the domain and range of the function?

{(3, -1), (4, 3), (9, 0), (-4, 3)}

Domain:
Type your answer as a list with commas between each number and no spaces. Do not type repeated values more than once.

Range:
Type your answer as a list with commas between each number and no spaces. Do not type repeated values more than once.



Answer :

GinnyAnswer
To find the domain and range of the given function, we need to extract the x-values and y-values from each ordered pair provided.

The function is defined by the points: (3, -1), (4, 3), (9, 0), (-4, 3)

Step-by-Step Solution:

1. Extracting the Domain:
- The domain consists of all the x-values from the ordered pairs.
- Looking at the given points: (3, -1), (4, 3), (9, 0), (-4, 3)
- We extract the x-values: 3, 4, 9, -4

2. Extracting the Range:
- The range consists of all the y-values from the ordered pairs.
- Looking at the given points: (3, -1), (4, 3), (9, 0), (-4, 3)
- We extract the y-values: -1, 3, 0, 3

3. Eliminating Duplicates:
- For the domain, there are no duplicates in the x-values.
- For the range, the value 3 appears twice, so we take it only once.

4. Final Lists:
- The domain is: [9, 3, 4, -4] (ordered without duplicates)
- The range is: [0, 3, -1] (ordered without duplicates)

So,
- Domain: 9,3,4,-4
- Range: 0,3,-1

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