CUET Mathematics 2023 15 June Shift 2 PYQs

Let $f : R \to R$ defined by $f(x) = 2x^3 - 7$ for $x \in R$. 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 :

Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be defined as $f(x) = [x]$, where [x] denotes the greatest integer less than or equal to x. Then which of the following statements are correct?

(A) f is one-one but not onto

(B) f is not onto

(C) f is not one-one

(D) f is one-one and onto

Choose the correct answer from the options given below:

Match List I with List II

List I	List II
A. Range of $	x
B. Range of $9x^2 + 6x - 5$ for all $x \geq 0$	II. $[0, \infty)$
C. Domain of $\frac{1}{\sqrt{x+5}}$	III. $\{(1,1), (2,2), (3,3)\}$
D. Smallest equivalence relation on Set $\{1,2,3\}$	IV. $[-5, \infty)$

Choose the correct answer from the options given below: