Find the domain and the range of the relation. Determine whether the relation is a function
Input -6
Output 1 -5 9 69
The domain is {-6} (Use a comma to separate answers as needed.)
The range is {_} (Use a comma to separate answers as needed.)
The domain is {-6} because -6 is the only input value given.
The range is {1, -5, 9, 69} because those are the output values given.
Since every input value has a unique output value and there are no repetitions in the output values, the relation is a function.
To determine the domain and range of the given relation, we first list all the inputs (or x-values) from the given data:
Input: -6
Hence, the domain of the relation is {-6}.
Next, we list all the outputs (or y-values) from the given data:
Output: 1, -5, 9, 69
Hence, the range of the relation is {1, -5, 9, 69}.
To determine if the relation is a function, we need to check if each input has only one corresponding output. Since for the input -6, there is only one corresponding output, the relation is a function.
Therefore:
Domain: {-6}
Range: {1, -5, 9, 69}
The relation is a function.
To find the domain of a relation, we need to determine all possible input values. In this case, the only given input value is -6. Therefore, the domain of the relation is {-6}.
To find the range of a relation, we need to determine all possible output values. The given output values are 1, -5, 9, and 69. Therefore, the range of the relation is {1, -5, 9, 69}.
To determine whether the relation is a function, we need to check if each input value has a unique output value. In this case, we have multiple output values for the input value -6. Since a function should have only one output value for each input value, the given relation is NOT a function.