Relations And Functions Practice Questions Ques1

Question: Which of the following statements is true about the relationship between codomain and range?

Options:

(A) The codomain is always equal to the range

(B) The range is always a subset of the codomain

(C) The codomain is always a subset of the range

(D) The codomain and range are always disjoint sets

Show Answer

Answer: B

Explanation:

(A) Incorrect. The codomain can be larger than the range.

(B) Correct. The range is always a subset of the codomain. The codomain includes all possible output values, while the range only includes the actual output values.

(C) Incorrect. The codomain can be larger than the range, not a subset of it.

(D) Incorrect. The range is a subset of the codomain, so they cannot be disjoint.