Home
Class 12
MATHS
If f(x)=sgn(cos 2x - 2 sin x + 3), where...

If `f(x)=sgn(cos 2x - 2 sin x + 3)`, where sgn () is the signum function, then f(x)

A

is continous over its domain

B

has a missing point discontinuity

C

has isolated point discontinuity

D

has irremovable discontinuity

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    MOTION|Exercise EXERCISE -1(SECTION - D: IVT)|1 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE -1(SECTION - E THEOREMS OF CONTINUITY)|2 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE -1(SECTION - B CONTINUITY OF A FUNCTION IN AN INTERVAL)|3 Videos
  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos
  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

Similar Questions

Explore conceptually related problems

For the function f(x)=log_([x-1])sgn(x) where sgn(x) is the signum function and [x] is GIF, domain of f is.

If f(x)=(x-2)|x-4| sgn(x)AA x in R (Where sgn( x ) denotes signum function) On the basis of above information answer the following questions: f(x) is monotonically increasing in interval-

If f(x)=(x-2)|x-4| sgn(x)AA x in R (Where sgn( x ) denotes signum function) On the basis of above information answer the following questions: f(x) is monotonically increasing in interval-

Let f:R^(+)rarr{-1,0,1} defined by f(x)=sgn(x-x^(4)+x^(7)-x^(8)-1) where sgn denotes signum function then f(x) is (1) many- one and onto (2) many-one and into one-one and onto (4) one- one and into

The int_(0)^(pi//2)sgn(sin^2x-sinx+1/2) dx is equal to , (where , sgn (x) denotes the sigum function of x)

Which of the following pair(s) of function have same graphs?(B) f(x)=sgn(x^(2)-4x+5),g(x)=sgn(cos^(2)x+sin^(2)(x+(pi)/(3))) where sgn denotes signum function

Let f:R to R be defined by f(x) = 5^(-|x|) - 5^(x) + sgn (e^(-x)) + 4 where sgn (x) denotes the signum function of x. Then

Given f(x) = ([{|x|}]e^(x^2){[x+{x}]})/((e^(1/x^2)-1)sgn(sinx) for x != 0 , 0 for x=0 where (x) is the fractional pat function, [x] is the step up finction and sgnt's) is the signum function then, f(x)