Mathematics · 2020
JEE Main · 5 September 2020, Shift 1 · Q73
Let f(x)=x ·[x/2], for -10<x<10, where [t] denotes the greatest integer function. Then the number of points of discontinuity of f is equal to \ \ \ \.
Let $\displaystyle f(x)=x \cdot\left[\frac{x}{2}\right]$, for $\displaystyle -10<x<10$, where [t] denotes the greatest integer function. Then the number of points of discontinuity of $\displaystyle f$ is equal to \_\_\_\_.
Official answer
8
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.