f′(x)=6x2≥0, with equality only at x=0, so f is strictly increasing, hence one-one.
As x→±∞, f→±∞, so range is R (onto).
Thus f is bijective: (A) and (C).
Let f : R → R defined by f(x) = 2x^3 - 7 for x ∈ R. Then : (A) f is one-one function (B) f is many to one function (C) f is bijective function (D) f…
CUET UG 2023 — Mathematics Algebra
2023mcqmedium
Let f:R→R defined by f(x)=2x3−7 for x∈R. Then :
(A) f is one-one function
(B) f is many to one function
(C) f is bijective function
(D) f is into function
Choose the correct answer from the options given below :
Official previous-year question
Held on 15 Jun 2023 · Verified 13 Jul 2026.
Options
- A
(A) and (D) only
- B
(B) and (D) only
- C
(B) and (C) only
- D
(A) and (C) only
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