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.