JEE Main 2025 Mathematics question
Let where [.] denotes greatest integer function. If and are the number of points, where f is not continuous and is not differentiable, respectively, then equals .....
Answer: 5
Solution
f is piecewise: 3x (x<0), x (0≤x<1), x+2 (1≤x<2), 5 (x>2). Not continuous at x∈{1,2} so α=2. Not differentiable at x∈{0,1,2} so β=3. α+β=5