Home
Class 12
MATHS
Let f: R to R be a function defined byf(...

Let `f: R to R` be a function defined by`f(x)="min" {x+1,|x|+1}.` Then, which of the following is true?

A

`f(x)geq` for all `x epsilonR`

B

f(x) is not differentiable at x=1

C

f (x) is differentiable everywhere

D

f (x) is not differentiable at x = 0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f:RrarrR be a function defined by f(x)=min {x+1,|x|+1} , then which of the following is true?

Let the function f: R to R be defined by f(x)=x^(3)-x^(2)+(x-1) sin x and "let" g: R to R be an arbitrary function Let f g: R to R be the function defined by (fg)(x)=f(x)g(x) . Then which of the folloiwng statements is/are TRUE ?

Let f:R to R be a function defined b f(x)=cos(5x+2). Then,f is

Let f:R rarr R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AA x in R. Then which of the following statement(s) is/are ture? f(2008)=f(2004)f(2006)=f(2010)f(2006)=f(2002)f(2006)=f(2018

Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

Let f:R rarr R be a function.Define g:R rarr R by g(x)=|f(x)| for all x .Then which of the following is/are not always true-

Let f:R rarr R be a function defined by f(x)=x^(3)+x^(2)+3x+sin x. Then f is

Let f : R → R be a function defined by f ( x ) = 4 x − 3 ∀ x ∈ R . Then Write f^(−1) .