Home
Class 12
MATHS
The function f(x)=ax+b, is strictly decr...

The function `f(x)=ax+b`, is strictly decreasing for all `x in R` iff :

A

a = 0

B

`a lt 0`

C

`a gt 0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

The function f(x) = 1-x^(3)-x^(5) is decreasing for

The function f(x)=x^(2)+2x-5 is strictly increasing in the interval

Show that the function given by f(x) = 3x + 17 is strictly increasing on R.

Prove that the function given by f(x) = cos x is (a) strictly decreasing in (0, pi) .

Show that the function given by f(x) = e^(2x) is strictly increasing on R.

The function f(x) = x^(2) + 2x - 5 is strictly increasing in the interval

If a lt 0 , the function f(x)=e^(ax)+e^(-ax) is decreasing for all values of x, where

Show that the function given by f(x) = sin x is (b) strictly decreasing in ((pi)/2, pi) .

Show that the function f(x)=x^(2) is a strictly increasing function on (0,oo).

Prove that the function given by f(x) = cos x is (b) strictly increasing in (pi,2 pi) .

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. The function f(x) = x - cos x, x in R, is

    Text Solution

    |

  2. The function f(x)=cot^(-1)x +x increases in the interval :

    Text Solution

    |

  3. The function f(x)=ax+b, is strictly decreasing for all x in R iff :

    Text Solution

    |

  4. The functiony = x^(3)+5x^(2)-1 is decreasing in the interval

    Text Solution

    |

  5. If f(x) = cos x + a^(2)x +b is an increasing function for all values o...

    Text Solution

    |

  6. Let f(x)=x^(3)+(3)/(2) x^(2)+3x+3, then f(x) is :

    Text Solution

    |

  7. If x gt 0, xy = 1, minimum value of x+y is

    Text Solution

    |

  8. If sum of two numbers is 3, then the maximum value of the product of f...

    Text Solution

    |

  9. If y= a log x+bx^(2)+x has its extreme values at x = -1 and x = 2, the...

    Text Solution

    |

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

    Text Solution

    |

  11. The number of values of x where the function f(x) = 2(cos 3x + cos sqr...

    Text Solution

    |

  12. The function f(x) = a cos x + b tan x + x has extreme values at x = 0 ...

    Text Solution

    |

  13. Let f(x) = (ax+b)/(cx + d), then f(x) has

    Text Solution

    |

  14. Let f(x)=x^(3)-(1)/(x^3) , then f(x)+f((1)/(x)) is equal to :

    Text Solution

    |

  15. The function f(x)=2+4x^(2)+6x^(4)+8x^(6) has :

    Text Solution

    |

  16. The function f(x) = x^(1/x), x gt 0 has the maximum value at x = e, th...

    Text Solution

    |

  17. Maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is :

    Text Solution

    |

  18. The sum of two non zero numbers is 4. The minimum value of the sum of ...

    Text Solution

    |

  19. The point in the interval [0, 2pi] where f(x) = e^(x) . sin x has maxi...

    Text Solution

    |

  20. The function f(x) = x^(2) + k/x has a local minimum at x = 2, then the...

    Text Solution

    |