Relations And Functions Practice Questions Ques2
Question: What is the range of the relation R = {(x, y) | y = x² - 4, x ∈ ℝ}?
Options:
(A) [-4, ∞)
(B) (-∞, ∞)
(C) [0, ∞)
(D) (-∞, -4]
Show Answer
Answer: A
Explanation:
(A) Correct. The minimum value of y occurs when x = 0, giving y = -4. There is no upper limit to y as x² can be arbitrarily large.
(B) Incorrect. The relation can’t produce values less than -4.
(C) Incorrect. The relation can produce negative values down to -4.
(D) Incorrect. The relation can produce values greater than -4.
BETA
