Relations And Functions Practice Questions Ques16

Question: What is the range of the relation R = {(x, y) | y = x² + 1, x ∈ {-2, -1, 0, 1, 2}}?

Options:

(A) {1, 2, 5}

(B) {2, 3, 4, 5}

(C) {1, 2, 4, 5}

(D) {-2, -1, 0, 1, 2}

Show Answer

Answer: A

Explanation:

(A) Correct. For x = -2, 2: y = 5; for x = -1, 1: y = 2; for x = 0: y = 1.

(B) Incorrect. This includes 3, which is not in the range.

(C) Incorrect. This misses the value 4 when x = ±2.

(D) Incorrect. This is the domain, not the range.