Home
Class 10
MATHS
Let A={1, 2, 3, 4, 5}, B=N and f: A to B...

Let `A={1, 2, 3, 4, 5}, B=N and f: A to B` be defined by `f(x)=x^(2)`. Find the range of f. Identify the type of function.

Text Solution

Verified by Experts

The correct Answer is:
f(x) = `x^(2)` = 3.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|20 Videos
  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise ADDITIONAL QUESTION SOLVED (III. ANSWER THE FOLLOWING).|12 Videos
  • SAMPLE PAPER - 10 (UNSOLVED)

    FULL MARKS|Exercise PART - IV|2 Videos

Similar Questions

Explore conceptually related problems

Let A={1, 2, 3, 4, 5, 6}, B=W and f:A to is defined by f(x)=x^(2)-1 find the range of f.

Let A={1, 2, 3, 4} and B=N , Let f:A to B be defined by f(x)=x^(3) then, Find the range of f.

Let A ={ 1,2,3,4,} and B =N. Let f: A to B be defined by f(x) = x^(2) then. find the range of f

Let A = { 1,2,3,4} and B =N .Let f : Ato B be defined by f (x) =x^(2) +1 then the range of f is :

Let f be function f:N to N be defined by f(x)=3x+2, xin N . Identify the types of function.

Let A={1, 2, 3, 4} and B=N . Let f:A to B to defined by f(x)=x^(3) then, identify the type of function

Let f:Rto"be defined by"f(x)=1absx. Then the range of f is

Let f:RtoR be defined by f(x)=x/(1+x^2),x inR . Then the range of f is

F : R to R defined by f (x) = (1)/(2x^2 +5) the range of F is

Let f be a function of f: N to N be defined by f(x)=3x+2 , x in N . Find the image of 1, 2, 5. Identity the type of function.

FULL MARKS-RELATIONS AND FUNCTIONS -ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)
  1. A = { -2,-1,1,2} and f = { ( x , (1)/(x) ) : x in A }. Write down th...

    Text Solution

    |

  2. Let A = { 5,6,7,8} , B = {-11,4,7,-10,-7-9,-13} and f = {(x,y): y = ...

    Text Solution

    |

  3. Let A={1, 2, 3, 4, 5}, B=N and f: A to B be defined by f(x)=x^(2). Fin...

    Text Solution

    |

  4. Find the domain and range of the following (i) f = {(1,2),(2,3),(3,...

    Text Solution

    |

  5. Given P = {-2,-1,0,1} Q= {1,-2,6,-3} R = {x,y/y = x^(2) - 3 x in P...

    Text Solution

    |

  6. Given f(x) = 3x - 2 , g(x) = 2x^(2) find (i) fog and (ii) gof what d...

    Text Solution

    |

  7. If f : R rarr R is defined by f (x) = ax + 3 and g : R rarr R is def...

    Text Solution

    |

  8. Given f(x) = 3 + x : g(x) = x^(2) h(x) = (1)/(x) find fo (goh)

    Text Solution

    |

  9. If f(x) = x + 3 where A = { 4,6,8,10} B = {7,9,11,13} and f : A rarr...

    Text Solution

    |

  10. Given A = {2,3,5}, B = {1,2,3} C = {2,5}, D = {2,3,5} check if (A ...

    Text Solution

    |

  11. Study the relation given below an set builder form. Represent each of ...

    Text Solution

    |

  12. State whether the following graphs represent a founction. Give reason ...

    Text Solution

    |

  13. Let A={6,9,15,18,21}, B={1,2,4,5,6} and f : A to B be defined by f...

    Text Solution

    |

  14. Let A = {4,6,8,10} and B= {3,4,5,6,7}. If f : A rarr B is defined by...

    Text Solution

    |

  15. A function f [-3, 7] rarr R is defined as follows f(x) = {{: (4x^(2) -...

    Text Solution

    |

  16. A function f:[-7, 6) to R is defined as follows. f(x)={(x^(2)+2x+1, ...

    Text Solution

    |

  17. Let A={0, 1, 2, 3} and B={1, 2, 3, 5, 7, 9} be two sets. Let f: A to B...

    Text Solution

    |

  18. A function f : (1,6) rarr R is defined as follows f(x) = {{: (1 + x,...

    Text Solution

    |

  19. Given f(x) = 5x + 2 , g(x) = 2x - 3, h(x) = 3x + 1, Verify fo (goh ...

    Text Solution

    |

  20. Given f(x) = x^(2) + 4 : g(x) = 3x - 2 : h(x) = x - 5, show that the...

    Text Solution

    |