Q72.Let f : [−1, 2] →R be given by f(x) = 2x2 + x + [x2] −[x], where [t] denotes the greatest integer less than or equal to t. The number of points, where f is not continuous, is : (1) 5 (2) 6 (3) 3 (4) 4
What This Question Tests
The question requires analyzing the one-one and onto nature of a composite function, f(g(x)), which involves careful consideration of the piecewise definition of g(x) and the absolute value function.
Concepts Tested
Formulas Used
f(x) = |x-1|
g(x) = {e^x, x>=0; x+MARA1, x<0}
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Composition of functions and injectivity/surjectivity
- Year
- 2024
- Shift
- 05 Apr Shift 2
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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