Home
Class 12
MATHS
The value (s) of x for which the functio...

The value (s) of x for which the function
` f(x) = {{:(1 -x " , " x lt 1),( (1 -x)(2-x) " : " 1 le x le 2 ),( x -3 " , " x gt 2 ):}` fails to be continuous is (are)

A

1

B

2

C

3

D

All real numbers

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • EAMCET -2016 (AP)

    SIA PUBLICATION|Exercise PHYSICS|39 Videos

  • EAMCET -2016 (AP)

    SIA PUBLICATION|Exercise CHEMISTRY|3 Videos

  • EAMCET - 2018 (TS) SHIFT - 2

    SIA PUBLICATION|Exercise Chemistry|18 Videos

  • EAMCET -2016 (TS)

    SIA PUBLICATION|Exercise CHEMISTRY|36 Videos

Similar Questions

Explore conceptually related problems

Show that the function f (x) = {{:( x, if x lt 1), ( 6 -2x , if 1 le x le 3), ( x ^(2) - 4x + 3, if x gt 3):} is not differentiable at x = 1,3

Show that the function f (x) = {{:( x , if x lt 1), ( 3-x , if 1 le x le 3), (x ^(2) - 4x +3, if x gt 3):} is not differentiable at 1,3.

Show that g (x) = {{:( x^(2) " if " x le 1), ( x " if " x gt 1):} is continuous or R .

f(x) = {{:(x " if " x le 1),(log x " if " x gt 1 ):} " then f (x) at x = 1 is "

If the function f is defined by f(x)={{:(x+2",",x gt 1),(2",",-1 le x le 1),(x-1",",-3g lt x lt-1):} then find the values of (i) f(3)

If the function f is defined by f(x)={{:(x+2",",x gt 1),(2",",-1 le x le 1),(x-1",",-3g lt x lt-1):} then find the values of (ii) f(0)

If f is defined by f (x) = {:{ (x , " for " 0 le x lt 1) , ( 2 -x , " for " x le 1 ) :} then at x =1