A: f(x)=3x is bijective on R, true. B: x4 has f(1)=f(−1), not one-one, also range is [0,∞), not onto, false. C: x2 on Z is not one-one nor onto, true. D: ∣x∣ on R is not one-one nor onto, true. So A, C, D.
CUET UG 2022 — Mathematics Algebra
Which of the following statements are true?
(A) f:R→R given by f(x)=3x is one-one onto.
(B) f:R→R given by f(x)=x4 is one-one and onto.
(C) f:Z→Z given by f(x)=x2 is neither one-one nor onto.
(D) f:R→R given by f(x)=∣x∣ is neither one-one nor onto.
(Where R is the set of all real numbers and Z is the set of all integers)
Choose the correct answer from the options given below:
Held on 16 Jul 2022 · Verified 13 Jul 2026.
A, B only
B, C only
A, C, D only
A, B, D only
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