Home
Class 12
MATHS
Let f(x)=x-|x-x^(2)|,x in [-1,1] find th...

Let `f(x)=x-|x-x^(2)|,x in [-1,1]` find the point of discontinuity, (if any) of this function on [-1,1]

Text Solution

Verified by Experts

The correct Answer is:
`[-1,1]`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART II) Sample Question |11 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART II) QUESTION FOR PRACTICE (1 MARK) |26 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART I) QUESTION FOR PRACTICE (1 MARK) |8 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

Similar Questions

Explore conceptually related problems

Given, f(x)=(1)/(x-1) . Find the points of discontinuity of composite function y=f{f(x)} .

Find the point of discontinuity, if any of the following function f(x)={:{(x^(10)-1", if "xle1),(x^(2)", if "xgt1):} .

Find the extremum, if any of the function f(x) = (1)/(x^(2) + 2) .

Examine the continuity of the function f defined by f(x) = {[2x+1if x 1]:} .

Find the extreme points of the function y= x+1/x .

Find the point of discontinuity of the function f(x)={:{((sin2x)/(x)", if "xlt0),(x+2", if "xge0):}

If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

ARIHANT PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -(PART I) QUESTION FOR PRACTICE (4 MARK)
  1. Show that the function f(x)=2x-|x| is continuous at x=0.

    Text Solution

    |

  2. Let f(x)=x-|x-x^(2)|,x in [-1,1] find the point of discontinuity, (if ...

    Text Solution

    |

  3. Show that the function f(x)={{:((sinx)/(x)+cosx", if "x!=0),(2", ...

    Text Solution

    |

  4. Discuss the continuity of the following function at x=0. f(x)={{:((x...

    Text Solution

    |

  5. If f(x)=(sqrt(2)cosx-1)/(cotx-1),x!=(pi)/(4). Then, find value of f((p...

    Text Solution

    |

  6. Show that the function defined by g(x)=x-[x] is discontinuous at all i...

    Text Solution

    |

  7. Determine f(0) so that the function f(x) defined by f(x)=((4^(x)-1)^(3...

    Text Solution

    |

  8. Examine the continuity of a function f(x)={{:(|x|"cos"(1)/(x)", if ...

    Text Solution

    |

  9. Show that the function f(x)={{:((e^(1//x)-1)/(e^(1//x)+1)", when "x!=0...

    Text Solution

    |

  10. For what value of lamda is the function f(x)={{:(lamda(x^(2)-2x)", i...

    Text Solution

    |

  11. Find the value of k, so that the function defined by f(x)={(kx+1", if...

    Text Solution

    |

  12. For what value of k, the function f(x)={((tan2x)/(x)", if "x!=0),(k"...

    Text Solution

    |

  13. For what value of k the following function is continuous at x=0 ? f(...

    Text Solution

    |

  14. Find the value of a, so that the function f(x) is defined by f(x)={{...

    Text Solution

    |

  15. Show that the function f(x)={(|x-a|sin(1)/(x-a)", if "x!=a),(0", ...

    Text Solution

    |

  16. A car driver is driving a car on the dangerous path given by f(x)={((1...

    Text Solution

    |

  17. For what value of k, the function f(x)={{:((sin2x)/(x)", "x!=0),(k"...

    Text Solution

    |

  18. Find the value of k for which f(x)={{:((sqrt(1+kx)-sqrt(1-kx))/(x)", ...

    Text Solution

    |

  19. find the value of k, so that the function f(x)={((2^(x+2)-16)/(4^(x)...

    Text Solution

    |

  20. Find the values of a and b such that the function f defined by f(x)={:...

    Text Solution

    |