The modulus function f : R R, given by f(x) = |x|, is : Option 1: One-one Option 2: Onto Option 3: One-one and onto both Option 4: Neither one-one nor onto

The answer is 'Neither one-one nor onto'. View full solution:

CUET Mathematics - The modulus function f : R R, given by f(x) = |x|, is : | PYQs + Solutions

CUET Mathematics 2022 7 Aug Shift 2

Algebra

Easy

One-one

Onto

One-one and onto both

Neither one-one nor onto

✅ Correct Option: 4

Related questions:

10 Aug Shift 1

A. A relation $R$ on a set $A$ is called an equivalence relation, if it is reflexive, symmetric and transitive.

B. The function $f : R \to R$ defined by $f(x) = e^x$ is not one-one.

C. The one-one function is also known as injective function.

D. The onto function is also known as subjective function.

E. A function $f : X \to Y$ is said to be many-one, if two or more than two elements in set $X$ have the different image in set $Y$ .

Choose the correct answer from the option given below:

30 May Shift 2

The relation R on the set of real numbers defined by $R = \{(a, b): a \leq b^2\}$ is

(A) Reflexive

(B) Not symmetric

(D) Transitive

Choose the correct answer from the options given below:

4 Aug Shift 1

If R is a relation on $A = \{a, b, c\}$ such that $R = \{(a,a), (b,b)\}$ , which element/elements should be included to make R an equivalence relation.

A. (c, c)

B. (c, c), (a, c), (c, a)

C. (a, b), (b, c), (a, c)

D. (b, c), (c, c), (c, a), (b, a)

Choose the correct answer from the options given below:

CUET Mathematics 2022 7 Aug Shift 2 PYQs

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