Home
Class 14
MATHS
Let R rarr R be a function defined as f...

Let `R rarr R` be a function defined as f(x) = |x| for each `x in R` . - being the set of real numbers. Which ne of the following is correct?

A

f is one-one but not onto

B

f is omto but not one-one

C

f is both one-one and ento

D

f is neither one-one nor canto

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |74 Videos

  • DIFFERENTION

    PUNEET DOGRA|Exercise Practice Sheet|20 Videos

  • HEIGHT & DISTANCE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |37 Videos

Similar Questions

Explore conceptually related problems

Let f:RtoR be a function defined as f(x)=x|x|, for each x""inR,R being the set of real numbers. Which one of the following is correct?

If f be a function defined as f(x) = p for each x in R , where p is a real number, then f is called

Let f:R rarr R be the function defined by f(x)=4x-3 for all x in R. Then write f^(-1) .

Let f:R rarr R be a function defined by f(x)=x+sqrt(x^(2)), then fis

Let f:R rarr R be a function defined by f(x)=|x] for all x in R and let A=[0,1) then f^(-1)(A) equals

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

The function f:R rarr R defined as f(x) = x^3 is:

Let f : R → R be a function defined by f ( x ) = 4 x − 3 ∀ x ∈ R . Then Write f^(−1) .

PUNEET DOGRA-FUNCTIONS-PREV YEAR QUESTIONS
  1. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to?

    Text Solution

    |

  2. Let f(x) = ax + b and g(x)= cx+ d. Then f (g(x)) = g (fex) is equivale...

    Text Solution

    |

  3. The average of all the non negative integers upto 99 is:

    Text Solution

    |

  4. If f be a function from the set of natural numbers to the set of even ...

    Text Solution

    |

  5. What is the range of the function f(x)=(|x|)/(x), x ne 0?

    Text Solution

    |

  6. Let N be the set of natural numbers and f: N rarr N be a function give...

    Text Solution

    |

  7. If f.R rarrR be a function whose inverse is (x+5)/(3) what is the val...

    Text Solution

    |

  8. Consider the following statement: I If f(x)=x^(3) and g(y)=y^(3) then...

    Text Solution

    |

  9. IF 6 le x le 8 then which one of the following is correct

    Text Solution

    |

  10. If f(xy) = f(x)f(y), then f(t) may be of the form

    Text Solution

    |

  11. Which of the following statements is correct?

    Text Solution

    |

  12. What is the range of f(x) = cos2x-sin2x ?

    Text Solution

    |

  13. Consider the following statements I Every function has a primitive II ...

    Text Solution

    |

  14. f(x) = (x+3)^(2) , then what is the value of f(-3)?

    Text Solution

    |

  15. If x^(log(7)x)gt7 where x gt 0. Then which one of the following is cor...

    Text Solution

    |

  16. {:(List-I,List-II),((I) psi^(2)"depends upon upon distance",(a)"p-orbi...

    Text Solution

    |

  17. Each item under List I is associated with one or more items under List...

    Text Solution

    |

  18. Each item under List I is associated with one or more items under List...

    Text Solution

    |

  19. A mapping f: R rarr R which is defined as f(x) = cos x: x in R is:

    Text Solution

    |

  20. Let R rarr R be a function defined as f(x) = |x| for each x in R . - ...

    Text Solution

    |