Home
Class 11
MATHS
Let f : R to R be defined as f(x) = x^(4...

Let f : R `to` R be defined as f(x) = `x^(4)`. Choose the correct answer.

A

f is one -one onto (2) f is onto

B

f is onto

C

f is one - one but not onto

D

f is neither one -one nor onto

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - B)|8 Videos
  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - C)|5 Videos
  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise EXERCISE 1.5|25 Videos
  • QUESTION PAPER -19

    SURA PUBLICATION|Exercise SECTION - IV|11 Videos
  • SURAS MODAL QUESTION PAPER-1 MATHEMATICS

    SURA PUBLICATION|Exercise Section-IV|20 Videos

Similar Questions

Explore conceptually related problems

Let f : R to R be defined as f (x) =10 x +7. Find the function g : R to R such that g o f =f 0 g= 1 _(R).

Let f: R to R be defined by f(x)=(x)/(1+x^(2)), x in R. Then, the range of f is (A) [-(1)/(2),(1)/(2)] (B) (-1,1)-{0} (C) R-[-(1)/(2),(1)/(2)] (D) R-[-1,1]

Knowledge Check

  • Let f: R to R be defined as f (x) = 3x. Choose the correct answer.

    A
    f is one-one onto
    B
    f is many-one onto
    C
    f is one-one but not onto
    D
    f is neither one-one nor onto.
  • Lett f: R rarr R be defined by f(x)=1-|x|. Then the range of f is

    A
    R
    B
    `(1, infty)`
    C
    `(-1,infty)`
    D
    `(-infty,1]`
  • F : R to R defined by f (x) = (1)/(2x^2 +5) the range of F is

    A
    A. `(5,oo)`
    B
    B. `[0,1/5]`
    C
    C. `[1/5 ,5]`
    D
    D. none of these
  • Similar Questions

    Explore conceptually related problems

    Let f: R-> R , be defined as f(x) = e^(x^2)+ cos x , then is (a) one-one and onto (b) one-one and into (c) many-one and onto (d) many-one and into

    Let f: R to R be defined as f(x) = e^("sgn "x)+ e^(x^(2)) . Then find the range of the function, and also indentify the type of the function : one-one or many-one.

    Let f:R to R be defined by f(x) =e^(x)-e^(-x). Prove that f(x) is invertible. Also find the inverse function.

    Let f : N to R be a function defined as f'(x) = 4x ^(2) + 12x + 15. Show that f: N to S. where, S is the range of f, is invertible. Find the inverse of f.

    (a) Let f,g : R to R be defined as f(x) =2x -|x| and g(x) =2x + |x| . Find fog. (b) Prove that lim_(theta to 0) (sin theta)/theta =1