Home
Class 10
MATHS
Show that the function f:N toN defined b...

Show that the function `f:N toN` defined by `f(m)=m^(2)+m+3` is one-one function.

Answer

Step by step text solution for Show that the function f:N toN defined by f(m)=m^(2)+m+3 is one-one function. by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOLVED PAPER 08 (UNSOLVED)

    FULL MARKS|Exercise Part-III|12 Videos
  • SOLVED PAPER 08 (UNSOLVED)

    FULL MARKS|Exercise Part-IV|3 Videos
  • SOLVED PAPER 08 (UNSOLVED)

    FULL MARKS|Exercise Part-IV|3 Videos
  • SAMPLE PAPER-1 (Departmental Model Paper)

    FULL MARKS|Exercise PART - I (Choose the correct answer)|5 Videos
  • STATISTICS AND PROBABILITY

    FULL MARKS|Exercise Additional question solved|65 Videos

Similar Questions

Explore conceptually related problems

Show that the function f:N to N defined by f(x)=2x-1 is one-one but not onto.

Show that the function f: R toR. defined as f (x) =x ^(2), is neither one-one nor onto.

Show that the function f: N to N, given by f (x) =2x, is one-one but not onto.

Show that the function defined by f(x)= cos (x^2) is a continuous function.

Show that the function defined by f(x)= sin (x^2) is a continuous function.

Show that the function defined by f(x)= |cos x| is a continuous function.

Let A = R - {3} and B =R -{1}. Consider the function f : A to B defined by f (x) = ((x -2)/(x -3)). Is f one-one and onto ? Justify your answer.

Prove that the function f: R to R, given by f (x) =2x, is one-one and onto.

If the function f : [-3,3] to S defined by f(x) = x^(2) is onto, then S is

Show that the function f:N to N, given by f (1) =f (2) =1 and f (x) =x -1, for every x gt 2, is onto but not one-one.