Home
Class 12
MATHS
f (x) is an even periodic function with ...

f (x) is an even periodic function with period 10 In `[0,5], f (x) = {{:(2x, 0le x lt2),(3x ^(2)-8,2 le x lt 4),(10x, 4 le x le 5):}.` Then:

A

`f (-4) =40`

B

`(f(-13) -x (11))/(f (13) + f(-11))=(17)/(21)`

C

`f (5)` is not defined

D

Range of `f (x)` is `[0,50]`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL|Exercise COMPREHENSION TYPE PROBLEMS|15 Videos

  • FUNCTION

    VK JAISWAL|Exercise MATCHING TYPE PROBLEMS|7 Videos

  • FUNCTION

    VK JAISWAL|Exercise SUBJECTIVE TYPE PROBLEMS|34 Videos

  • ELLIPSE

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • HYPERBOLA

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

An even periodic functin f : R to R with period 4 is such that f (x)= [{:(max. (|x|"," x ^(2)),, 0 le x lt 1),( x,, 1 le x le 2):} The number of solution of f (x) | 3 sin x| for x in (-6, 6) are :

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

An even periodic functin f : R to R with period 4 is such that f (x)= [{:(max. (|x|"," x ^(2)),, 0 le x lt 1),( x,, 1 le x le 2):} The value of {f (5.12)} (where {.} denotes fractional part function), is :

If f(x)={{:(,(x^(2))/(2),0 le x lt 1),(,2x^(2)-3x+(3)/(2),1 le x le 2):} then,

The points of discontinuity of the function f (x) = {{:(3x + 1"," ,0 le x lt2),(4x - 1"," ,2 lt x le 6),(5x + 2",", 6 lt x le 10 ):} are:

If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt x le 3):}, then

If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt x le 6):} , then f(x) is

Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof) (x).

f(x){{:(2x "," if x lt 0 ),(0"," if 0 le x le 1),(4x "," if x gt 1 ):}

VK JAISWAL-FUNCTION -ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT
  1. Let f (x)= {{:(x ^(2),0lt x lt2),(2x-3, 2 le x lt3),(x+2, x ge3):} the...

    Text Solution

    |

  2. Let f: [(2pi)/(3), (5pi)/(3)]to[0,4] be a function difined as f (x) =s...

    Text Solution

    |

  3. Let f (x) be invertible function and let f ^(-1) (x) be is inverse. Le...

    Text Solution

    |

  4. Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

    Text Solution

    |

  5. Let f:R rarr R defined by f(x)=cos^(-1)(-{-x}), where {x} denotes fra...

    Text Solution

    |

  6. Which option (s) is/are ture ?

    Text Solution

    |

  7. If f (x) =[ln (x)/(e) +[ln (e)/(x)], where [.] denotes greatest interg...

    Text Solution

    |

  8. If f (x0= {{:(x ^(3), , x ne Q),(-x ^(3),,x ne Q):}, then :

    Text Solution

    |

  9. Let f(x) be a real valued function such that f(0)=1/2 and f(x+y)=f(x)f...

    Text Solution

    |

  10. f (x) is an even periodic function with period 10 In [0,5], f (x) = {{...

    Text Solution

    |

  11. For the equation (e ^(-x))/(1+x)= lamda which of the following stateme...

    Text Solution

    |

  12. . For x in R^+, if x, [x], {x} are in harmonic progression then the va...

    Text Solution

    |

  13. The equation ||x-1|+a | =4,a in R, has :

    Text Solution

    |

  14. Let f (n)(x) = (sin x )^(1//pi) , x in R, then:

    Text Solution

    |

  15. If the domain of f (x) =1/picos ^(-1)[log (3) ((x^(3))/(3))] where, x ...

    Text Solution

    |

  16. The number of real values of x satisfying the equation;[(2x+1)/3]+[(4x...

    Text Solution

    |

  17. Let f (x= sin ^(6) ((x )/(4)) + cos ^(6) ((x)/(4)). If f ^(n) (x) deno...

    Text Solution

    |

  18. Which of the following is (are) incorrect ?

    Text Solution

    |

  19. If [x] denotes the integral part of x for real x, and S= [(1)/(4)]+[...

    Text Solution

    |

  20. Let f(x) = log ({x}) [x] g (x) =log ({x})-{x} h (x) log ({x}) {x}...

    Text Solution

    |