Final answer:
The domain and range in interval notation represent the set of possible inputs and outputs, respectively, for a function. The domain is the set of all possible input values, while the range is the set of all possible output values.
Step-by-step explanation:
The domain and range in interval notation represent the set of possible inputs and outputs, respectively, for a function. The domain of a function is the set of all possible input values, while the range is the set of all possible output values. In interval notation, a closed bracket [ ] is used to represent an inclusive endpoint, meaning that the endpoint is included in the set, while an open parenthesis ( ) is used to represent an exclusive endpoint, meaning that the endpoint is not included in the set.
For the given options:
a) [0, [infinity]): The domain starts from 0 and goes to positive infinity, including both 0 and positive infinity. The range is all real numbers (negative infinity to positive infinity).
b) (-[infinity], [infinity]): The domain includes all real numbers (negative infinity to positive infinity). The range is also all real numbers (negative infinity to positive infinity).
c) (-[infinity], 0]: The domain includes all real numbers (negative infinity to positive infinity). The range includes all real numbers less than or equal to 0.
d) (-[infinity], 5): The domain includes all real numbers (negative infinity to positive infinity). The range includes all real numbers less than 5.