Home
Class 12
MATHS
draw the graph of f(x)=x+[x], [.] denote...

draw the graph of f(x)=x+[x], [.] denotes greatest integer function.

Text Solution

Verified by Experts

`" "f(x)= x+ [x]= {{:(......,, ),(......,, ),(x-2",",,x in [-2","-1)),(x-1",",,x in [-1","0)), (x",",,x in [0","1)), (x+1",",,x in [1","2)), (x+2",",,x in [2","3)), (......,, ), (......,, ):}`
The given of the function is as shown in the following figure.
Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF ELEMENTARY FUNCTIONS

    CENGAGE|Exercise Exercise|34 Videos

  • GRAPHS OF POLYNOMIAL AND RATIONAL FUNCTIONS

    CENGAGE|Exercise Exercise|13 Videos

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise|22 Videos

Similar Questions

Explore conceptually related problems

If f(x)=[2x], where [.] denotes the greatest integer function,then

Draw the graph of y=[|x|] , where [.] denotes the greatest integer function.

f(x)=log(x-[x]), which [,] denotes the greatest integer function.

Find the inverse of the function: f:Z to Z defined by f(x)=[x+1], where [.] denotes the greatest integer function.

Sketch the graph of the following function: (i) f(x)=[Ix-1].] denotes the greatest integer function (ii) f(x)=x+[x.] denotes the greatest integer function.? eli- f(x)=sin|?[x].[.] denotes the greatest integer function.2

If f:Irarr I be defined by f(x)=[x+1] ,where [.] denotes the greatest integer function then f(x) is equal to

Find the range of the following function: f(x)=ln(x-[x]), where [.] denotes the greatest integer function

The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greatest integer function):

The function f(x)=[x], where [x] denotes the greatest integer function,is continuous at

CENGAGE-GRAPHS OF ELEMENTARY FUNCTIONS -Exercise
  1. draw the graph of f(x)=x+[x], [.] denotes greatest integer function.

    Text Solution

    |

  2. Draw the graph of y= (1)/((1//x)).

    Text Solution

    |

  3. (a) Draw the graph of f(x) = ={{:(1",",, |x| ge 1), ((1)/(n^(2)) ",",,...

    Text Solution

    |

  4. Sketch the regions which points satisfy |x+y| ge 2.

    Text Solution

    |

  5. Sketch the region satisfying |x| lt |y|.

    Text Solution

    |

  6. For a point P in the plane, let d1(P)a n dd2(P) be the distances of th...

    Text Solution

    |

  7. Draw the graph of y= (x-1)/(x-2).

    Text Solution

    |

  8. The following figure shows the graph of f(x) =ax^(2)+bx +c, then find ...

    Text Solution

    |

  9. The entire graph of the equation y=x^2+k x-x+9 in strictly above the x...

    Text Solution

    |

  10. If x^2+2a x+a<0AAx in [1,2], the find the values of adot

    Text Solution

    |

  11. Draw the graph of f(x) = x|x|.

    Text Solution

    |

  12. Draw the graph of the function: Solve |(x^2)/(x-1)|lt=1 using the grap...

    Text Solution

    |

  13. Draw the graph of y = |x^(2) - 2x|-x.

    Text Solution

    |

  14. Draw the graph of y = {{:(2^(x)",",, x^(2)-2x le 0 ),( 1+3.5 x- x^(2),...

    Text Solution

    |

  15. Draw the graph of f(x) = |x-1|+ |2x-3|. Find the range of the functio...

    Text Solution

    |

  16. Draw the graph of y= |x-1|+3|x-2|-5|x-4| and find the values of lamda ...

    Text Solution

    |

  17. Find the set of real value(s) of a for which the equation |2x+3|+2x-3|...

    Text Solution

    |

  18. Draw the graph of y= 2^(((|x|+x))/(x)).

    Text Solution

    |

  19. Draw the graph of y= x ^((1)/(log(e)x)).

    Text Solution

    |

  20. Find the number of solutions to the question x+log(e)x=0.

    Text Solution

    |

  21. draw the graph of f(x)=x+[x], [.] denotes greatest integer function.

    Text Solution

    |