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Mathematics · 2024 · 1 mark
CBSE 2024 · Region 1 · Set 1 · Q3
Which of the following statements is true for the function f ( x )= {x^2+3, x ≠ 0; 1, x =0}?
Which of the following statements is true for the function $\displaystyle \mathrm{f}(\mathrm{x})=\left\{\begin{array}{cc}\mathrm{x}^{2}+3, & \mathrm{x} \neq 0 \\ 1, & \mathrm{x}=0\end{array}\right.$ ?
Official answer
(C)
$\displaystyle \mathrm{f}(\mathrm{x})$ is continuous and differentiable $\displaystyle \forall \mathrm{x} \in \mathbb{R}-\{0\}$
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CBSE Class 12 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.