Home
Class 12
MATHS
f(x)=x+|x| is continuous for...

`f(x)=x+|x|` is continuous for

A

`x""in(-oo,oo)`

B

`x""in(-oo,oo)-{0}`

C

only `xgt0`

D

no value of x

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2010

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QEUSTIONS|10 Videos

Similar Questions

Explore conceptually related problems

Show that the function f(x)=x|x| is continuous and differentiable at x = 0

Show that the function f(x)=5x-|2x| is continuous at x = 0

Show that the function f (x)=x^(2)+2x is continuous for every real value of x .

Show that the function defined by f(x)= |cos x| is a continuous function.

A function f(x) satisfies the following property: f(xdoty)=f(x)f(y)dot Show that the function f(x) is continuous for all values of x if it is continuous at x=1.

Let f(x+y)=f(x)+f(y) for all xa n dydot If the function f(x) is continuous at x=0, show that f(x) is continuous for all xdot

Is the function defined by f(x)= |x| , a continuous function?

f(x)={(a x(x-1)+b ,, x 3):} Find the values of the constants a,b, p \ a n d \ q so that all the following conditions are satisfied f(x) is continuous for all x , f^(prime)(1) does not exist and f^(prime)(x) is continuous at x=3

Examine whether the function f given by f(x)= x^2 is continuous at x= 0.

Prove that the function defined by f(x)= tan x is a continuous function.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2009-MULTIPLE CHOICE QUESTIONS
  1. lim(xto2)(sin(e^(x-2)-1))/(log(x-1))

    Text Solution

    |

  2. Let f(x)=(sqrt(x+3))/(x+1) then the value of Lt(xto-3-0)f(x) is

    Text Solution

    |

  3. f(x)=x+|x| is continuous for

    Text Solution

    |

  4. prove that tan((pi)/(4)+(1)/(2) cos ^(-1)""(a) /(b) )+tan ((pi)/(4) ...

    Text Solution

    |

  5. If i=sqrt-1 and n is a positive integer, then i^(n)+i^(n+1)+i^(n+3 is ...

    Text Solution

    |

  6. int(dx)/(x(x+1)) equals

    Text Solution

    |

  7. If x is a positive real number different from 1 such that log(a)^(x),l...

    Text Solution

    |

  8. A line through the point A (2,0) which makes an angle of 30^(@) with t...

    Text Solution

    |

  9. The equation sqrt3sinx+cosx=4 has

    Text Solution

    |

  10. The slope at any point of a curve y=f(x) is given by (dy)/(dx)=3x^(2) ...

    Text Solution

    |

  11. The modulus of (1-i)/(3+i)+(4i)/(5) is

    Text Solution

    |

  12. The equation of the tangent to the conic x^(2)-y^(2)-8x+2y+11=0 at (2,...

    Text Solution

    |

  13. A and B are two independent events such that P(AuuB')=0.8, and P(A)=0....

    Text Solution

    |

  14. The total number of tangents through the point (3,5) that can be drawn...

    Text Solution

    |

  15. The value of lim(ntooo)[(n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2))+.............

    Text Solution

    |

  16. A particle is moving in a straight line. At time, the distance between...

    Text Solution

    |

  17. convert into A+iB form, (1-i)/(3+i)+(4i)/(5)

    Text Solution

    |

  18. The co-ordinates of the foot of the perpendicular from (0, 0) upon the...

    Text Solution

    |

  19. If A is a square matrix then,

    Text Solution

    |

  20. Center of the circle x^(2) + y^(2) - 6x + 4y - 12 = 0 is -

    Text Solution

    |