Home
Class 12
MATHS
A function is defined as follows f(x)={...

A function is defined as follows
`f(x)={:{(x^(3),, x^(2)lt1),(x, , x^(2)ge 1):}` then function is

A

Continuous at x=1

B

Differentiable at x=-1

C

Continuous but not differentiable at x=1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - D|6 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - E|4 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section -B|35 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos
  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

A function is defined as follows f(x)={x^(3),x^(2)<1 and x,x^(2)<=1 then function is

The fuction f(x) is defined as follows: f(x) ={(2x-3,x lt 2),(x-1, x ge 2):} Prove that f(x) is continuous x at =2.

Let f(x)={{:(x^(3)-1",", x lt2),(x^(2)+3"," , x ge 2):} Then

A function f defined by f(x)=In(sqrt(x^(2)+1-x)) is

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :

let the function f be defined by f (x)= {{:(p+ qx+ x^(2)"," , x lt 2),( 2 px+3qx ^(2)"," , x ge 2):}, Then:

Function f(x)={(x-1",",x lt 2),(2x-3",", x ge 2):} is a continuous function