Question

Determine whether the function is one-to-one.

A) Yes
B) No
C) Cannot be determined
D) Not applicable

Answer 1

A function is one-to-one if each element in the domain is paired with a unique element in the range without any repetitions.

Step-by-step explanation:

A function is one-to-one if each element in the domain is paired with a unique element in the range, and no two different elements in the domain are paired with the same element in the range.

To determine if the function is one-to-one, we need to check if any two different elements in the domain are paired with the same element in the range.

• If all elements in the domain are paired with different elements in the range, then the function is one-to-one. The answer is A. Yes.
• If there are two different elements in the domain that are paired with the same element in the range, then the function is not one-to-one. The answer is B. No.
• If it's not possible to determine whether the function is one-to-one or not based on the given information, then the answer is D. Not enough information given to determine the answer.