Home
Class 12
MATHS
The function f (x) = x - |x - x ^(2) | ,...

The function `f (x) = x - |x - x ^(2) | , -1 le x le 1` is continuous on the interval

A

`[-1,1]`

B

`(-1,1)`

C

`{-1,1] -{0}`

D

`(-1,1) -{0}`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2016

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

  • QUESTION-PAPERS-2018

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

Similar Questions

Explore conceptually related problems

If function f(x) = x-|x-x^(2)|, -1 le x le 1 then f is

Draw the graph of the function f(x) = x - |x - x^(2)|, -1 le x le 1 and discuss the continuity or discontinuity of f in the interval -1 le x le 1

Draw the graph of the function f(x)= x- |x-x^(2)|, -1 le x le 1 and find the points of non-differentiability.

The range of the function f(x)=|x-1|+|x-2|, -1 le x le 3, is

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

If the function f(x) = {(kx + 5 ", when " x le 2),(x -1 ", when " x gt 2):} is continuous at x = 2 then k = ?

Prove that the function f(x)={{:(,x+1,at ,-1 le x le0),(,-x,at,0 lt x le 1):} is discontinuous at the point x=0 and still has the maximum and the minimum value on [-1,1].

BITSAT GUIDE-QUESTION-PAPERS-2017-MATHEMATICS
  1. After striking a floor a certain ball rebounds (4/5)^(t h) of the heig...

    Text Solution

    |

  2. An equilateral triangle is inscribed in the circle x^2+y^2=a^2 with o...

    Text Solution

    |

  3. The function f (x) = x - |x - x ^(2) | , -1 le x le 1 is continuous on...

    Text Solution

    |

  4. If 4^n/(n+1) lt ((2n)!)/((n!)^2), then P(n) is true for

    Text Solution

    |

  5. If a system of equation – ax + y + z = 0 x -by + z =0 x + y - cz = 0...

    Text Solution

    |

  6. If f (x) = x ^(x) , then f (x) is increasing in interval :

    Text Solution

    |

  7. If x is real number, then ( x )/( x ^(2) - 5 x +9 ) must lies between

    Text Solution

    |

  8. Evaluate: lim(x->oo) { ((a1)^(1/x)+(a2)^(1/x)+.... +(an)^(1/x))/n}^(n...

    Text Solution

    |

  9. The value of cot ^(-1) 7 + cot ^(-1) 8 + cot ^(-1) 18 is

    Text Solution

    |

  10. If int "" (cos x - 1)/( sin x +1 ) e ^(x) dx is equal to :

    Text Solution

    |

  11. A random variable X has the probability distribution For the eve...

    Text Solution

    |

  12. The number of roots of equation cos x + cos 2x + cos 3x = 0 is ( 0 le ...

    Text Solution

    |

  13. The area under the curve y = | cos x - sin x |, 0 le c le (pi)/(2), an...

    Text Solution

    |

  14. If f (x) = {{:(( x log cos x )/( log (1 + x ^(2)))",", x ne 0), ( 0","...

    Text Solution

    |

  15. The maximum value of z = 3x + 2y subject to x + 2y ge 2 , x + 2y lt 8...

    Text Solution

    |

  16. A cylindrical gas container is closed at the top and open at the ...

    Text Solution

    |

  17. Let A, B , C be finite sets. Suppose that n (A) = 10, n (B) = 15, n (C...

    Text Solution

    |

  18. If f(z) = (7-z)/( 1-z^(2)), where z =1+2i, then |f (z) | is

    Text Solution

    |

  19. If f(x)=cos^(-1)[(1-(logx)^2)/(1+(logx)^2)] , then the value of f'(e) ...

    Text Solution

    |

  20. Statement 1 : A five digit number divisible by 3 is to be formed using...

    Text Solution

    |