Home
Class 11
MATHS
The function f(x)=x^2+bx+c, where b and ...

The function `f(x)=x^2+bx+c`, where b and c real constants , describes

A

One-to-one mapping

B

onto mapping

C

not one-to-one but onto mapping

D

neither one-to-one nor onto mapping

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos
  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

The function f(x) =x^(2)+bx +c , where b and c are real constants , decribes -

Draw the graph of the constant function, f(x) = c (here c is a fixed real constant).

Find the number of points of maxima and minima of the function. f(x)=1/8"In"x-bx+x^2,xgt0 where bge0 is a constant.

Let f(x) = a+ b|x| + c|x|^4 where a, b and continuous are real constants . Then, f(x) is differentiable at x = 0, if

Consider the function f(x)=x^(2)+bx+c, where D=b^(2)-4cgt0 , then match the follwoing columns.

Show that the function f defined by f(x)= |1-x+|x|| , where x is any real number, is a continuous function.

Find the condition so that the function f(x)=x^(3)+ax^(2)+bx+c is an increasing function for all real values of x.

Determine the points of maxima and minima of the function f(x) =(1)/(8)log x-bx+x^(2), x gt 0 , where b ge 0 is a constant.

If the function f(x)=x^(3)+ax^(2)-bx+4 defined in -2 le x le 2 satisfies Rolle's theorem when -2 lt c lt 2 where c=(1)/(3)(1+sqrt(13)) , then find the values of a and b.

If the function f(x)=x^(3)-ax^(2)+bx-6 defined in 1 le x le 3 satisfies Rolle's theorem when 1lt c lt 3 where c=2+(1)/(sqrt(3)) , find the values of a and b.

PATHFINDER-FUNCTION-QUESTION BANK
  1. Let f:NrarrR be such that f(1)=1and f(1)+2f(2)+3f(3)+......+nf(n)=n(n+...

    Text Solution

    |

  2. For the functionf(x)=[1/[[x]]] , where [x] denotes the greatest intege...

    Text Solution

    |

  3. Letf :(-pi/2,pi/2)rarrR be given by f(x)=(log)(secx+tan x))^3 Then

    Text Solution

    |

  4. If a in R and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] deno...

    Text Solution

    |

  5. Let R be the set of all real numbers f:RrarrR be given by f(x)=3x^2+1....

    Text Solution

    |

  6. The function f(x)=x^2+bx+c, where b and c real constants , describes

    Text Solution

    |

  7. The range of the function y=(pi^2/16+x^2) is ?

    Text Solution

    |

  8. Letf(x)=2^100x+1,g(x)=3^100x+1 Then the set of real numbers x such tha...

    Text Solution

    |

  9. Which of the following real valued functions is/are not even functions...

    Text Solution

    |

  10. Letf:RrarrR be such that f is injective and f(x) f(y)=f(x+y) for all x...

    Text Solution

    |

  11. The function f[0,3]rarr[1,29], defined by f(x)=2x^3-15x^2+36x+1,is

    Text Solution

    |

  12. Let f(x)=ax^2+bx+c,g(x)=px^2+qx+r such that f(1)=g(1),f(2)=g(2)and f(3...

    Text Solution

    |

  13. The total number of infections (one-one into mappings) from {a1,a2,a3,...

    Text Solution

    |

  14. Let R be the set of real numbers and the functionsf:RrarrR and g:Rrarr...

    Text Solution

    |

  15. Letf(x)=x^2 and g(x)=sinx for all xIR then the set of all x satisfying...

    Text Solution

    |

  16. Letf:(0,1)rarrR be defined by f(x)=b-x/1-bx , where b is a constant su...

    Text Solution

    |

  17. The domain of the function f(x)=sin^-1((8(3)^(x-2))/(1-3^(2(x-1)))) is

    Text Solution

    |

  18. The domain of the function f(x)=1/sqrt(|x|-x) is

    Text Solution

    |

  19. The even function of the following is

    Text Solution

    |

  20. Iff(x+2y,x-2y)=xy, then f(x,y)is equal to

    Text Solution

    |