Relations And Functions Practice Questions Ques13

Question: For the relation R = {(x, y) | y = x², x ∈ ℝ}, what is the range?

Options:

(A) ℝ

(B) [0, ∞)

(C) (-∞, ∞)

(D) (-∞, 0]

Show Answer

Answer: B

Explanation:

(A) Incorrect. The range doesn’t include negative numbers.

(B) Correct. The square of any real number is non-negative.

(C) Incorrect. This includes negative numbers, which are not in the range.

(D) Incorrect. The range includes positive numbers, not negative ones.