Home
Class 12
MATHS
Let f(x)={(x+2,-1lexle0),(1,x=0),(x/2,0l...

Let `f(x)={(x+2,-1lexle0),(1,x=0),(x/2,0ltxle1):}` Then on [-1,1] this function has

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

If f(x)={(3x^2+12x-1,-1lexle2),(37-x,2ltxle3):}

let f(x)={( int_0^x|1-t|dt, xgt1),(x-1/2, xle1):} then

If f(x)={(x[x], 0lexlt2),((x-1)[x],2lexle3):} , then f(x) is

Let f(x)={(0", if"-1 le x lt 0),(1", if "x =0),(2", if "0 lt x le1):} and let F(x)= int_(-1)^(x) f(t) dt, -1 le x le 1 , then

f(x)={(x-1",",-1 le x le 0),(x^(2)",",0le x le 1):} and g(x)=sinx Consider the functions h_(1)(x)=f(|g(x)|) and h_(2)(x)=|f(g(x))|. Which of the following is not true about h_(1)(x) ?

f(x)={(x-1, -1lexlt0),(x^2, 0ltxle1):} and g(x)=sin x. Then find h(x)=f(|g(x)|)+|f(g(x))|

Let g(x)=1+x-[x] and f(x)=={(-1, x lt0),(0, x=0),(1, x gt 0):} Then for all x find f(g(x))

If |c|le1/2 and f(x) is a differentiable function at x = 0 given by f(x)={(bsin^(-1)((c+x)/2), -1/2ltxlt0),(1/2, x=0),((e^((ax)/2)-1)/x, 0ltxlt1/2):} Find the value of 'a'

Let f(x)={{:(1-x,0lexle1,),(0,1lexle2,),((2-x)^(2),2lexle3,):} , then 6int_(0)^(3)f(x)dx is equal to-

Let f(x)={(absx, "for",0ltabsxlt=2),(1, "for",x=0):} Then ,at x = 0, f(x) has

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The maximum slope of the curve y=-x^3+3x^2+9x-27 is (a) 0 (b) 12 (c)...

    Text Solution

    |

  2. The maximum value of f(x)=x/(1+4x+x^2) is -1/4 (b) -1/3 (c) 1/6 (d)...

    Text Solution

    |

  3. Let f(x)={(x+2,-1lexle0),(1,x=0),(x/2,0ltxle1):} Then on [-1,1] this f...

    Text Solution

    |

  4. The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the ...

    Text Solution

    |

  5. The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...

    Text Solution

    |

  6. The function f(x)=oversetxunderset(-1)intt(e^t-1)(t-1)(t-2)^3(t-3)^5 d...

    Text Solution

    |

  7. Let f:IRrarrIR be defined as f(x)=|x|+|x^2-1|.The total number of poin...

    Text Solution

    |

  8. Let p(x) be a real polynomial of least degree which has a local maximu...

    Text Solution

    |

  9. Find the current through an ideal p- n junction diode asshown is figur...

    Text Solution

    |

  10. Given that E and F are events such that P (E) = 0.6, P (F) = 0.3 and P...

    Text Solution

    |

  11. Let a in R and let f: R be given by f(x)=x^5-5x+a , then (a) f(x) ...

    Text Solution

    |

  12. Match the statement/expressions in Column I with the open intervals in...

    Text Solution

    |

  13. Let f be a function defined on R (the set of all real numbers) such th...

    Text Solution

    |

  14. f(x) is cubic polynomial with f(x)=18 and f(1)=-1 . Also f(x) has loca...

    Text Solution

    |

  15. f(x)={(c^x ,,0lexle1),(2-c^(x-1) , ,1ltxlt=2),( x-c ,,2ltxlt=3):}, and...

    Text Solution

    |

  16. A rectangular sheet of fixed perimeter with sides having their lengths...

    Text Solution

    |

  17. The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...

    Text Solution

    |

  18. Statement 1: Let f(x)=5-4(x-2)^(2/3)dot Then at x=2, the function f...

    Text Solution

    |

  19. Let f: RvecR be differentiable and strictly increasing function throug...

    Text Solution

    |

  20. The function defined by f(x)=(x+2)e^(-x) is decreasing for all x decr...

    Text Solution

    |