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Mathematics · JEE | RELATIONS AND FUNCTIONS
हिन्दीMatch List-I with List-II: List-I List-II A Identity Function \( f: \mathbb{R} \to \mathbb{R} \) I Range is \( \{c\} \) B Constant Function \( f: \mathbb{R} \to \mathbb{R} \) II Range is \( [0, \infty) \) C Polynomial Function \( f(x) = x^2 \) III Range is \( \mathbb{R} \) D Domain of \( R \subset A \times B \) IV Set of all first elements Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I | List-II | ||
|---|---|---|---|
| A | Identity Function \( f: \mathbb{R} \to \mathbb{R} \) | I | Range is \( \{c\} \) |
| B | Constant Function \( f: \mathbb{R} \to \mathbb{R} \) | II | Range is \( [0, \infty) \) |
| C | Polynomial Function \( f(x) = x^2 \) | III | Range is \( \mathbb{R} \) |
| D | Domain of \( R \subset A \times B \) | IV | Set of all first elements |
Choose the correct answer from the options given below:
View Answer & Solution
Correct answer · Option D
A-(III), B-(I), C-(II), D-(IV)
Explanation
Identity function has range \( \mathbb{R} \) (III), constant function has range \( \{c\} \) (I), \( f(x)=x^2 \) has range \( [0, \infty) \) (II), and domain of relation is the set of first elements (IV).
