Answer:o determine if a relation is a function, you need to check whether each input (independent variable) is associated with only one output (dependent variable).
a. "No, it is not a function. The inputs have only one output."
This statement is incorrect. If each input has only one output, it satisfies the definition of a function. So, the correct statement should be: "Yes, it is a function. The inputs have only one output."
b. "Yes, it is a function. The inputs have only one output."
This statement is correct. If each input is associated with only one output, then it is a function.
c. "No, it is not a function. The inputs have more than one output."
This statement is correct. If any input is associated with more than one output, it does not satisfy the definition of a function.
d. "Yes, it is a function. The inputs have more than one output."
This statement is incorrect. If any input has more than one output, it does not meet the criteria for a function.
So, the correct answers are:
b. Yes, it is a function. The inputs have only one output.
c. No, it is not a function. The inputs have more than one output.