Home
Class 12
MATHS
Let function f : R to R be defined by f ...

Let function `f : R to R` be defined by f (x) = 2x + sin x for x `in` R Then f is

A

one-to-one and onto

B

one-to-one but NOT onto

C

onto but NOT one-to-one

D

neither one-to-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ML KHANNA|Exercise PROBLEM SET (2) |40 Videos

  • FUNCTIONS

    ML KHANNA|Exercise PROBLEM SET (3) |71 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (Self Assessment Test)|8 Videos

  • HEIGHTS AND DISTANCES

    ML KHANNA|Exercise Problem Set (3) FILL IN THE BLANKS|9 Videos

Similar Questions

Explore conceptually related problems

Let the function f:R rarr R be defined by f(x)=2x+sin x for x in R .Then f is (a)one-to-one and onto (b)one-to-one but not onto (c)onto but not-one-to-one (d)neither one- to-one nor onto

The function f: R to R defined by f(x) = 4x + 7 is

The function f :R to R defined by f (x) = e ^(x) isd

Let a function f:R to R be defined by f(x)=2x+cosx+sinx " for " x in R . Then find the nature of f(x) .

Let f : R to R be defined by f (x) = x ^(4), then

Let the funciton f:R to R be defined by f(x)=2x+sin x . Then, f is

The function f:R rarr R is defined by f(x)=cos^(2)x+sin^(4)x for x in R. Then f(R) is

The function f:R to R is defined by f(x)=cos^(2)x+sin^(4)x for x in R . Then the range of f(x) is

The function f:R rarr R be defined by f(x)=2x+cos x then f