Final answer:
The range of a function represents the set of all possible output values. From the given options, the range for function f can be determined to be y | - [infinity] < y < [infinity].
Step-by-step explanation:
The range of a function refers to the set of all possible output values. In the given options, we can identify the range of function f by looking at the y-values that are allowed for each option:
- The range is y | - [infinity] < y < 4 since y can be any value greater than negative infinity and less than 4.
- The range is y | - [infinity] < y < [infinity] since y can be any real number.
- The range is y | - [infinity] < y < 0 since y can be any value less than 0.
- The range of function f cannot be determined from the given options.
Therefore, the correct answer is option 2) y | - [infinity] < y < [infinity].