Home
Class 12
MATHS
Let the function f: R rarr R be defined ...

Let the function `f: R rarr R` be defined as `f(x)=min .(x+2,4-2 x, 1+4 x` ). The maximum vatue of `f(x)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
2.67
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    CENGAGE|Exercise Comprehension Type|7 Videos
  • EQUATION OF PLANE AND ITS APPLICATIONS -II

    CENGAGE|Exercise DPP 3.4|18 Videos
  • GETTING STARTED WITH GRAPHS

    CENGAGE|Exercise Exercise|18 Videos

Similar Questions

Explore conceptually related problems

The function f: R rarr R is defined by f(x)= sin x+ cos x is ..............

The function R rarr R is defined by f(x)=cosx is .............

The function f:R->[-1/2,1/2] defined as f(x)=x/(1+x^2) is

Let a function f be defined by f(x)=(x-|x|)/x for x ne 0 and f(0)=2. Then f is

Lett f: R rarr R be defined by f(x)=1-|x|. Then the range of f is

If f: R to R is defined by f(x) = |x-3| + |x-4| for x in R then lim_(x to 3^-) f(x) is equal to …………………. .

If f:R rarr R is defined by f(x)= floor(x-3)+|x+4| for xepsilonR,then lim_(xrarr3^-)f(x) is equal to:

CENGAGE-FUNCTIONS-Question Bank
  1. Let f: R rarr R be a polynomial function satisfying f(f(x) -2 y)=2 x-3...

    Text Solution

    |

  2. Let P(x)=x^4+a x^3+b x^2+c x+d be a polynomial such that P(1)=1, P(2)=...

    Text Solution

    |

  3. A function f(x) is such that f(x)=0 has 8 distinct real roots and f(4+...

    Text Solution

    |

  4. The number of integral values of x satisfying the equation sgn([15/(1+...

    Text Solution

    |

  5. Let f(x)=(1-c x)/(1-c^2) . If f(x) gt 0 for évery x greater than zero....

    Text Solution

    |

  6. Let g:[-2,2] rarr R, where g(x)=x^(2015)+sgn(x)+[(x^2+1)/p] be an odd ...

    Text Solution

    |

  7. If f(x)=|x+2|+|2 x-p|+|x-2| attains its minimum value in the interval ...

    Text Solution

    |

  8. Let the function f: R rarr R be defined as f(x)=min .(x+2,4-2 x, 1+4 x...

    Text Solution

    |

  9. Let f: R rarr R be defined as f(x)=2 x^3+7 x-5 and g(x)=f^-1(x). If g^...

    Text Solution

    |

  10. If f(x)= 3 sqrt((9)/(log2 (3-2x) - 1) then the value of ' a ' which sa...

    Text Solution

    |

  11. Consider the function f(x)=sqrt(2-x)+sqrt(1+x). If d denotes the numb...

    Text Solution

    |

  12. If f(x, y)=(max (x, y))^(min (x, y)) and g(x, y)=max (x, y) -min (x, y...

    Text Solution

    |

  13. The number of solution of the equation e^(2 x) + e^x+e^-(2 x)+ e^(-x...

    Text Solution

    |

  14. Suppose f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db are positive integ...

    Text Solution

    |

  15. Let f:R->R be a continuous function such that|f(x)-f(y)|>=|x-y| for a...

    Text Solution

    |

  16. Let the equation (a-1) x^2=x(2 b+3) be satisfied by three distinct val...

    Text Solution

    |

  17. f(x) = (2x^(2) + 3)/(5), for oo lt x le 1 = 6 -5x, for 1 lt x lt 3 ...

    Text Solution

    |

  18. Let f(x)=x/(1-x) and ' a ' be a real number. If x0=a, x1=f(x0) , x2=f(...

    Text Solution

    |

  19. If the largest positive value of the function defined as f(x)=sqrt(8 x...

    Text Solution

    |

  20. If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^2+4x+1 is [p , q], th...

    Text Solution

    |