Home
Class 11
MATHS
Find whether the following are into func...

Find whether the following are into functions (surjections) or not.
`f:RtoR` defined by `f(x)=x^(2)+3` for all `x inR`

Text Solution

Verified by Experts

The correct Answer is:
`:.` f is not onto.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ICSE|Exercise EXERCISE 2 (a)|24 Videos

  • RELATIONS AND FUNCTIONS

    ICSE|Exercise EXERCISE 2 (b)|26 Videos

  • RELATION AND FUNCTIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)|32 Videos

  • SAMPLE QUESTION PAPER 01

    ICSE|Exercise SECTION C|8 Videos

Similar Questions

Explore conceptually related problems

Find whether the following are into functions (surjections) or not. f:ZtoZ defined by f(x)=5x-9 for all x inZ .

Find whether the following is onto function (surjection) or not. f:RtoR defined by f(x)=x^(3)+5 for all x inR

Find whether the following functions are one-one or not. f:RtoR , defined by f(x)=x^(3),x inR

Find whether the following functions are one-one or not. f:ZtoZ , defined by f(x)=x^(2)+5 for all x inZ

Find whether the following functions are one-one or not. f:R-{3}toR , defined by f(x)=(5x+7)/(x-3),x inR-{3}

The function f:RtoR defined by f(x)=e^(x) is

State the following function is one-one or not and why? f:RtoR defined by f(x)=-absx

State which of the following function are onto and why? f:RtoR defined by f(x)=2x+3

Find whether f: R->R given by f(x)=x^3+2 for all x in R .

If function f:NtoN is defined by f(x)=2x+3 , for all x inN then f is

ICSE-RELATIONS AND FUNCTIONS-EXERCISE 2 (g)
  1. Find whether the following are into functions (surjections) or not. ...

    Text Solution

    |

  2. Draw the graph of function. y=(1)/(|x|)

    Text Solution

    |

  3. draw the graph of function. y=(|x|-x)/(2)

    Text Solution

    |

  4. Draw the graph of function. y=(1)/(|x|)

    Text Solution

    |

  5. Draw the graph of function. y=|4-x^(2)|,-3lexle3.

    Text Solution

    |

  6. Graph each function. y=|x|+x,-2lexle2

    Text Solution

    |

  7. Graph function. y=|x+2|+x

    Text Solution

    |

  8. Copy and complete this table of values :

    Text Solution

    |

  9. Draw the graph y=3^(x) on squared paper, for -2lexle3.

    Text Solution

    |

  10. What features do the graphs of y=2^(x) and y=3^(x) have in common?

    Text Solution

    |

  11. Draw the graphs y=2^(x) and y=((1)/(2))^(x), on the same diagram, for ...

    Text Solution

    |

  12. In the graph of y= 2^(x) and y= (1/2)^(x) Which line is the axis of sy...

    Text Solution

    |

  13. A sketch of the graph y=alog(4)(x+b) is shown. Find the values of a an...

    Text Solution

    |

  14. Diagram (i) shows the curve y=log(a)x. What is the value of a? .

    Text Solution

    |

  15. Diagram (ii) shows the curve y=log(10)(x+p). What is the value of p?

    Text Solution

    |

  16. Sketch the graphs y=2 and y=log(10)2x on the same diagram.

    Text Solution

    |

  17. Find the point of intersection of the graphs by solving the equation l...

    Text Solution

    |

  18. The sketch shows part of the graph y=alog(2)(x-b). Find the values of ...

    Text Solution

    |

  19. Sketch the graphs y=4-x and y=log(10)x on the same diagram.

    Text Solution

    |

  20. (i)sketch the graph y=4-x and y= log(10)x on same graph . (ii) write...

    Text Solution

    |

  21. Sketch the graphs y=4-x and y=log(10)x on the same diagram.

    Text Solution

    |