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Relations and Functions
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
Let $f: \mathbb{R} \to \mathbb{R}$ be defined by $f(x) = 3x$. Choose the correct answer: (a) $f$ is one-one onto (b) $f$ is many-one onto (c) $f$ is one-one but not onto (d) $f$ is neither one-one nor onto
Step-by-Step Solution
$3x_1 = 3x_2 \Rightarrow x_1 = x_2$ and Range $= \mathbb{R} \Rightarrow f$ is one-one onto. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Selecting f is one-one onto: 1.0 Mark
Correct Answer:$f$ is one-one onto
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