Question:
Let \(f: \R → \R\) be defined by \(f(x) = x^2\), for every \(x∈\R\). Then \(f\) is:
Let \(f: \R → \R\) be defined by \(f(x) = x^2\), for every \(x∈\R\). Then \(f\) is:
Updated On: Apr 20, 2024
- one-one and onto
- one-one and not onto
- neither one-one nor onto
- onto and not one-one
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is(C):neither one-one nor onto
Was this answer helpful?
1
0
Top Questions on Relations and Functions
- A school is organizing a debate competition with participants as speakers and judges. \[ S = \{S_1, S_2, S_3, S_4\} \] where \(S = \{S_1, S_2, S_3, S_4\}\) represents the set of speakers. The judges are represented by the set: \[ J = \{J_1, J_2, J_3\} \] where \(J = \{J_1, J_2, J_3\}\) represents the set of judges. Each speaker can be assigned only one judge. Let \(R\) be a relation from set \(S\) to \(J\) defined as: \[ R = \{(x, y) : \text{speaker } x \text{ is judged by judge } y, x \in S, y \in J\} \]
- CBSE CLASS XII - 2025
- Mathematics
- Relations and Functions
- Let \( R \) be a relation on the set of real numbers \( \mathbb{R} \) defined as \[ R = \{(x, y) : x - y + \sqrt{3} \text{ is an irrational number}, x, y \in \mathbb{R} \}. \] Verify \( R \) for reflexivity, symmetry, and transitivity.
- CBSE CLASS XII - 2025
- Mathematics
- Relations and Functions
- Let \( f : \mathbb{R} \to \mathbb{R} \) be defined as \( f(x) = 10 - x^2 \), then:
- CUET (UG) - 2024
- Mathematics
- Relations and Functions
- Relation \( R \) on the set \( A = \{1, 2, 3, \ldots, 13, 14\} \) defined as \( R = \{(x, y) : 3x - y = 0\} \) is:
- CUET (UG) - 2024
- Mathematics
- Relations and Functions
- A function \( f \) is defined from \( R \to R \) as \( f(x) = ax + b \), such that \( f(1) = 1 \) and \( f(2) = 3 \). Find the function \( f(x) \). Hence, check whether the function \( f(x) \) is one-one and onto.
- CBSE CLASS XII - 2024
- Mathematics
- Relations and Functions
View More Questions
Questions Asked in CUET exam
- Match List-I with List-II
List-I (Name of account to be debited or credited, when shares are forfeited) List-II (Amount to be debited or credited) (A) Share Capital Account (I) Debited with amount not received (B) Share Forfeited Account (II) Credited with amount not received (C) Calls-in-arrears Account (III) Credited with amount received towards share capital (D) Securities Premium Account (IV) Debited with amount called up
Choose the correct answer from the options given below:- CUET (UG) - 2024
- Accounting for Share and Debenture Capital
- Find out which of the answer figures completes the figure matrix :
- CUET (UG) - 2024
- Image Based
- In the given analogy, choose the word which will replace the question mark: NEGI : MVTR :: SING : ?
- P, Q, R, and S are four wires of resistances 3 Ω, 3 Ω, 3 Ω, and 4 Ω respectively. They are connected to form the four arms of a Wheatstone bridge circuit. The resistance with which S must be shunted in order that the bridge may be balanced is__________
Fill in the blank with the correct answer from the options given below.- CUET (UG) - 2024
- Current electricity
- For the given mixed combination of resistors calculate the total resistance between points A and B.
Choose the correct answer from the options given below.- CUET (UG) - 2024
- Current electricity
View More Questions