Home
Class 12
MATHS
Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then f(x)...

Let `f(x)=|x^2-3x-4|,-1lt=xlt=4` Then `f(x)` is monotonically increasing in `[-1,3/2]` `f(x)` monotonically decreasing in `(3/2,4)` the maximum value of `f(x)i s(25)/4` the minimum value of `f(x)` is `0`

A

f(x) is monotonically increasing in `[-1,3//2]`

B

f(x) is monotonically decreasing in `(3//2,4]`

C

the maximum value of f(x) is `(25)/(4)`

D

the minimum value of f(x) is 0

Text Solution

Verified by Experts

The correct Answer is:
1,2,3,4

Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS

    CENGAGE PUBLICATION|Exercise Linked comprehension type|50 Videos
  • MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS

    CENGAGE PUBLICATION|Exercise Matrix Match Type|11 Videos
  • MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS

    CENGAGE PUBLICATION|Exercise Exercise|92 Videos
  • METHODS OF DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|7 Videos
  • MONOTONOCITY AND NAXINA-MINIMA OF FUNCTIONS

    CENGAGE PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then a) f(x) is monotonically increasing in [-1,3/2] b) f(x) monotonically decreasing in (3/2,4) c) the maximum value of f(x)i s(25)/4 d) the minimum value of f(x) is 0

f(x)=4tanx-tan^2x+tan^3x ,x!=npi+pi/2, (a)is monotonically increasing (b)is monotonically decreasing (c)has a point of maxima (d)has a point of minima

The function f(x)=cos x - 2ax is monotonically decreasing when-

If f(x)= 2x^3-3x^2+4x-2 ,then the value of f'(3) is

If f(x)= 4^x/(4^x-2) then find the value f(x)+f(1-x).

If f (x+2)=3x +4, then the value of f (x ^(2) -1) is-

The minimum value of f(x)=3x^4-8x^3-48x+25 on [0.3] is

Let f(x) = x^(3) e^(-3x) , x gt 0 . Then the maximum value of f(x) is:

Show that the function f(x)=(3x+5)/(x+2) is strictly monotonic increasing in [0, oo) .

CENGAGE PUBLICATION-MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS-Multiple correct answers type
  1. Let f(x)=2x-sinx and g(x)=3^(sqrtx) . Then

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then f(x) is monotonically increasing i...

    Text Solution

    |

  4. If f(x)=int0^x(sint)/t dt ,x >0, then

    Text Solution

    |

  5. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  6. Let f(x)=a x^2-b|x|, where aa n db are constants. Then at x=0,f(x) has...

    Text Solution

    |

  7. The function y=(2x-1)/(x-2),(x!=2) is its own inverse decrease at all...

    Text Solution

    |

  8. Let f(x) =ax^(2) + bx + c and f(-1) lt 1, f(1) gt -1, f(3) lt -4 and a...

    Text Solution

    |

  9. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

    Text Solution

    |

  10. If f^(prime)x=g(x)(x-a)^2,w h e r eg(a)!=0,a n dg is continuous at x=a...

    Text Solution

    |

  11. The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/...

    Text Solution

    |

  12. Let f(x) = (x^2 - 1)^(n+1) * (x^2 + x + 1). Then f(x) has local extrem...

    Text Solution

    |

  13. Let f(x)=sinx+a x+bdot Then which of the following is/are true? (a) f(...

    Text Solution

    |

  14. The function (sin(x+a))/(sin(x+b)) has no maxima or minima if b-a=npi...

    Text Solution

    |

  15. Consider f(x)=ax^(4)+cx^(2)+dx+e has no point of inflection. Then whic...

    Text Solution

    |

  16. L e tf(x)={((x-1)(6x-1))/(2x-1),ifx!=1/2 0,ifx=1/2 Then at x=1/2, whi...

    Text Solution

    |

  17. In which of the following graphs is x=c the point of inflection? figur...

    Text Solution

    |

  18. Let f(x) be an increasing function defined on (0,oo) . If f(2a^2+a+1)>...

    Text Solution

    |

  19. Let f(x)=(x-1)^4(x-2)^n ,n in Ndot Then f(x) has (a) a maximum at x=1...

    Text Solution

    |

  20. For the cubic function f(x)=2x^3+9x^2+12 x+1, which one of the followi...

    Text Solution

    |