Mathematics · 2022
JEE Main · 24 June 2022, Shift 1 · Q25
The number of points where the function f(x)= {|2 x^2-3 x-7|, if x ≤-1; [4 x^2-1], if -1<x<1; |x+1|+|x-2|, if x ≥ 1,} [t] denotes the greatest…
The number of points where the function
$$f(x)= \begin{cases}\left|2 x^2-3 x-7\right| & \text { if } x \leqslant-1 \\ {\left[4 x^2-1\right]} & \text { if }-1<x<1 \\ |x+1|+|x-2| & \text { if } x \geqslant 1,\end{cases}
$$
[t] denotes the greatest integer $\displaystyle \leqslant \mathrm{t}$, is discontinuous is \_\_\_\_.
Official answer
7
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.