Mathematics Exam  >  Mathematics Questions  >  Let f : R --> R be given by f(x) = [x] the... Start Learning for Free
Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Then
  • a)
    The points at which f is not continuous is countable
  • b)
    The points at which f is not continuous is R
  • c)
    f is strictly decreasing
  • d)
    f is strictly increasing
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Let f : R --> R be given by f(x) = [x] the greatest integer less th...
The graph of the greatest integer function is

Clearly the function y = f ( x ) = [x] is discontinuous at the points 0, ±1, ± 2, ± 3,.. the points of discontinuity are countable.
View all questions of this test
Most Upvoted Answer
Let f : R --> R be given by f(x) = [x] the greatest integer less th...
R be a function. The domain of the function f is the set of all real numbers, R, and the codomain is also the set of all real numbers, R.
Free Test
Community Answer
Let f : R --> R be given by f(x) = [x] the greatest integer less th...
The graph of the greatest integer function is

Clearly the function y = f ( x ) = [x] is discontinuous at the points 0, ±1, ± 2, ± 3,.. the points of discontinuity are countable.
Explore Courses for Mathematics exam
Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Thena)The points at which f is not continuous is countableb)The points at which fis not continuous is Rc)f is strictly decreasingd)f is strictly increasingCorrect answer is option 'A'. Can you explain this answer?
Question Description
Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Thena)The points at which f is not continuous is countableb)The points at which fis not continuous is Rc)f is strictly decreasingd)f is strictly increasingCorrect answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Thena)The points at which f is not continuous is countableb)The points at which fis not continuous is Rc)f is strictly decreasingd)f is strictly increasingCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Thena)The points at which f is not continuous is countableb)The points at which fis not continuous is Rc)f is strictly decreasingd)f is strictly increasingCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Thena)The points at which f is not continuous is countableb)The points at which fis not continuous is Rc)f is strictly decreasingd)f is strictly increasingCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Thena)The points at which f is not continuous is countableb)The points at which fis not continuous is Rc)f is strictly decreasingd)f is strictly increasingCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Thena)The points at which f is not continuous is countableb)The points at which fis not continuous is Rc)f is strictly decreasingd)f is strictly increasingCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Thena)The points at which f is not continuous is countableb)The points at which fis not continuous is Rc)f is strictly decreasingd)f is strictly increasingCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Thena)The points at which f is not continuous is countableb)The points at which fis not continuous is Rc)f is strictly decreasingd)f is strictly increasingCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let f : R --> R be given by f(x) = [x] the greatest integer less than or equal to x. Thena)The points at which f is not continuous is countableb)The points at which fis not continuous is Rc)f is strictly decreasingd)f is strictly increasingCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mathematics tests.
Explore Courses for Mathematics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev