Which of the following statements are true? (A) f:mathbbR → mathbbR given by f(x) = 3x is one-one onto. (B) f:mathbbR → mathbbR given by f(x) = x^4…

Which of the following statements are true?

(A) $f:\mathbb{R} \to \mathbb{R}$f:R→R given by $f(x) = 3x$f(x)=3x is one-one onto.
(B) $f:\mathbb{R} \to \mathbb{R}$f:R→R given by $f(x) = x^4$f(x)=x4 is one-one and onto.
(C) $f:\mathbb{Z} \to \mathbb{Z}$f:Z→Z given by $f(x) = x^2$f(x)=x2 is neither one-one nor onto.
(D) $f:\mathbb{R} \to \mathbb{R}$f:R→R given by $f(x) = |x|$f(x)=∣x∣ is neither one-one nor onto.

(Where $\mathbb{R}$R is the set of all real numbers and $\mathbb{Z}$Z is the set of all integers)

Choose the correct answer from the options given below: