Q61.Let f : (1, 3) →R, be a function defined by f(x) = x[x] , where [x], denotes the greatest integer ≤x. Then 1+x2 the range of f , is (1) ( 25 , 35 ] ∪( 34 , 45 ) (2) ( 25 , 12 ) ∪( 35 , 45 ] (3) ( 25 , 45 ] (4) ( 35 , 45 )
What This Question Tests
This question tests the ability to determine the range of a function involving the greatest integer function by analyzing the function's behavior over different sub-intervals of its domain.
Concepts Tested
Formulas Used
Definition of [x]
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Range of a function
- Year
- 2020
- Shift
- 08 Jan Shift 2
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 2: Relations and Functions
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