Find the domain and the range of the relation. Determine whether the relation is a function
Input -1
Output 3 -3 5 54
The domain is {_} (Use a comma to separate answers as needed.)
The range is {_} (Use a comma to separate answers as needed.)
Is the relation a function?
O Yes
O No
The domain is {-1} because the input is only -1.
The range is {3, -3, 5, 54} because those are the outputs.
Since each input corresponds to multiple outputs, the relation is not a function. Therefore, the answer is "No."
The domain is {-1}. Since there is only one input given, which is -1.
The range is {3, -3, 5, 54}. These are the different outputs given for the different inputs.
The relation is a function. Since each input (in this case, -1) is associated with exactly one output (3, -3, 5, or 54).
To find the domain of a relation, you need to identify all the possible input values for the relation. In this case, the given input is -1. Since there are no specific restrictions mentioned regarding the input values, the domain of this relation can be any real number, denoted as (-∞, +∞). Therefore, the domain is [-∞, +∞].
To find the range of a relation, you need to identify all the possible output values for the relation. In this case, the given outputs are 3, -3, 5, and 54. Since there are no restrictions mentioned regarding the output values, the range of this relation can be any real number, denoted as (-∞, +∞). Therefore, the range is [-∞, +∞].
To determine if the relation is a function, you need to check if each input value corresponds to a unique output value. Since there is only one given input (-1) and it corresponds to four different output values (3, -3, 5, and 54), the relation is not a function. The output values are not unique for each input value, violating the definition of a function. So the answer is: No, the relation is not a function.