Home
Class 12
MATHS
Show that the Modulus Functions f : R to...

Show that the Modulus Functions `f : R to R,` given by `f (x) =|x|,` is neither one-one nor onto, whre |x| is x, if x is positive or 0 and |x| is -x, if x is negative.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise EXERCISE 1.3|14 Videos
  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise EXERCISE 1.4|13 Videos
  • RELATIONS AND FUNCTIONS

    NCERT TELUGU|Exercise EXERCISE 1.1|13 Videos
  • PROBABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos
  • VECTOR ALGEBRA

    NCERT TELUGU|Exercise Miscellaneous Exercise on chapter 10|17 Videos

Similar Questions

Explore conceptually related problems

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

Show that the function f: R to R given by f (x) = x ^(3) is injective.

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

Prove that the Greatest Integer Function f: R to R, given by f (x) =[x], is neither one-one nor onto, where [x] denotes the greatest integer less than or equal to x.

The function f: R to R defined by f(x) =x-[x], AA x in R is

Show that the Signum Function f: R to R, given by f (x) ={{:(1, if x gt 0), ( 0, if x =0),(-1, if x lt0):} is neither one-one nor onto.

Show that the function f given by f(x) = x^(3)-3x^(2)+4x,x in R is increasing on R.

Determine whether the function f:R to R defined by f(x) = x^(2) is one one (or) onto (or) bijection.

Show that f:Nto N, given by x + 1, if x is odd, f (x) = x -1, if x is even is both one-one and onto.

Show that the function given by f(x) = 7x – 3 is increasing on R.