Home
Class 12
MATHS
The function f(x)=x+|x| is continuous fo...

The function `f(x)=x+|x|` is continuous for

A

only `x gt 0`

B

` x in (-oo, oo)- {0}`

C

` x in (-oo, oo)`

D

no values of x

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=sin|x| is continuous for all x

Prove that the function f(x) =2x-|x| is continuous at x=0.

Show that the function f(x)=2x-|x| is continuous at x=0.

Show that the function f(x)=2x-|x| is continuous at x=0

Show that the function f(x)=2x-|x| is continuous at x=0 .

Show that the function f(x)=2x-|x| is continuous but not differentiable at x=0

The function f(x)=|x|+|x-1| is Continuous at x=1, but not differentiable at x=1 Both continuous and differentiable at x=1 Not continuous at x=1 Not differentiable at x=1

Show that the function f(x)=|x-2| is continuous but not differentiable at x=2.

The function f(x)=e^(-|x|) is continuous everywhere but not differentiable at x=0 continuous and differentiable everywhere not continuous at x=0 none of these

the function f(x)=3x-1,x 2 is continuous on