Answer :
Answer:
1. Domain: (3, 5, 7, 8, 11)
Range: ( 6, 7, 9, 14)
2. Domain: (-3, -1, 2, 5, 7)
Range: (-7, -5, -4, 5, 9)
Step-by-step explanation:
The domain is the set of all x values in the function. The range is the set of all y values in the function. It is written in parenthesis from least to greatest. Do not repeat values even if the function has them more than once.
1. Domain: (3, 5, 7, 8, 11)
Range: ( 6, 7, 9, 14)
2. Domain: (-3, -1, 2, 5, 7)
Range: (-7, -5, -4, 5, 9)
Final answer:
The domain and range for each function are determined by the unique x-values and y-values given in the ordered pairs. For the first set, the domain is {3, 5, 7, 8, 11} and the range is {6, 7, 9, 14}. For the second set, the domain is {-3, -1, 2, 5, 7} and the range is {9, 5, 4, -5, -7}.
Explanation:
To find the domain and range of each function provided in the question, we need to identify the set of all possible x-values (domain) and the set of all possible y-values (range) from the ordered pairs.
- For the first set of values, the domain is {3, 5, 7, 8, 11} and the range is {6, 7, 9, 14}. It is important to note that even though the number 7 appears twice in the y-values, it is only listed once in the range because the range is a set of unique values.
- For the second set of values, the domain is {-3, -1, 2, 5, 7} and the range is {9, 5, 4, -5, -7}. In this case, there are no repeating y-values, so all listed values are part of the range.
Each element in the domain corresponds to one unique value in the range, demonstrating that they indeed represent functions.
