Home
Class 12
MATHS
The function f(x)={{:(|x-3|",", x ge1),(...

The function `f(x)={{:(|x-3|",", x ge1),(((x^(2))/(4))-((3x)/(2))+(13)/(4)",", x lt 1):}` is

A

continuous at x = 1

B

differentiable at x = 1

C

continuous at x = 3

D

differentiable at x = 3

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 1

    MTG-WBJEE|Exercise CATEGORY 2 : SINGLE OPTION CORRECT TYPE|15 Videos
  • MATRICES AND DETERMINANTS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE )|3 Videos
  • MODEL TEST PAPER 2

    MTG-WBJEE|Exercise CATEGORY 3 : One or More than One Option Correct Type|10 Videos

Similar Questions

Explore conceptually related problems

For the function f(x)= {{:(,|x-3|,x ge 1),(,(x^(2))/(4)-(3x)/(2)+(13)/(4),x lt 1):} which one of the folllowing is incorrect

The function {{:(|x-3|,,ifxge1),((x^(2))/(2)-(3x)/(2)+(13)/(4),, if xlt 1):} is

The function f(x)=[|x-3,x<=1 and ((x^(2))/(4))-((3x)/(2))+((13)/(4)),x<1 is

For the function f(x)=x "cos" 1/x, x ge1

Which of the following statement is true for the function f(x)={{:(sqrt(x),","x ge 1),(x^(3) ,","0 le x lt 1),((x^(3))/(3)-4x,"," x lt 0):}

The function defined by f(x)={|x-3|,x>=1 and (1)/(4)x^(2)-(3)/(3)x+(13)/(4),x<