Let f:(-2, 2) 
R be defined by 
where [x] denotes the greatest integer function. If m and n respectively are the number of points in (-2, 2) at which y =|f[x]| is not continuous and not differentiable, then m + n is equal to_____
Text Solution
Verified by Experts4
(4)
Given,
Be defined by 
Now plotting the diagram 01 the above function we get,
Now from above diagram we can say that, y =f(x) is same as y =|f(x)|
Hence, the function is not continuous at one point and non differentiable at three points, so m = 1, n = 3
Hence, m + n = 4
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems