Let ƒ : [–1,3] $$ \to $$ R be defined as $$f(x) = \left\{ {\begin{matrix} {\left| x \right| + \left[ x \right]} & , & { - 1 \le x < 1} \\ {x + \left| x \right|} & , & {1 \le x < 2} \\ {x + \left[ x \right]} & , & {2 \le x \le 3} \\ \end{matrix} } \right.$$ where [t] denotes the greatest integer less than or equal to t. Then, ƒ is discontinuous at:
JEE · Math · previous-year question
- A.only three points
- B.four or more points
- C.only two points
- D.only one point
Want to know if you got it right?
Answer thousands more real JEE previous-year questions free, get graded instantly, and climb the global ranked leaderboard.
Practice JEE free →More JEE Math questions
- What is the total number of distinct x \in \mathbb{R} for which \left|\begin{array}{ccc}x …
- Let m be the smallest positive integer such that the coefficient of x^{2} in the expansion…
- What is the total number of distinct x \in[0,1] for which \int_{0}^{x} \frac{t^{2}}{1+t^{4…
- Let \alpha, \beta \in \mathbb{R} be such that \lim _{x \rightarrow 0} \frac{x^{2} \sin (\b…
- Let z=\frac{-1+\sqrt{3} i}{2}, where i=\sqrt{-1}, and r, s \in\{1,2,3\}. Let P=\left[\begi…
- For how many values of p, the circle x^{2}+y^{2}+2 x+4 y-p=0 and the coordinate axes have …
- Let f: \mathbb{R} \rightarrow \mathbb{R} be a differentiable function such that f(0)=0, f\…
- For a real number \alpha, if the system \[ \left[\begin{array}{ccc} 1 & \alpha & \alpha^{2…