Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The mapping f : R → R given by f (x) = x 3 + ax 2 + bx + c is a bijection if
Text Solution
Verified by ExpertsThe correct answer is:
B
f : R → R, f(x) = x 3 + ax 2 + bx + c
f ′ (x) = 3x 2 + 2ax + b
D ≤ 0 or 4a 2 – 12b ≤ 0 or a 2 ≤ 3b
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The function , where assumes its minimum value only at one point, if . Find .
2. If be two fixed positive integers such that for all real , then is a periodic function with …
3. The domain of the function , where the symbols have their usual meanings, is the set . Find nu…
If , then . Find .
, then is equal to . Find .
Let and be the roots of , then is equal to Find .