Home
Class 12
MATHS
An even periodic functin f : R to R with...

An even periodic functin `f : R to R` with period 4 is such that
`f (x)= [{:(max. (|x|"," x ^(2)),, 0 le x lt 1),( x,, 1 le x le 2):}`
The number of solution of `f (x) | 3 sin x|` for ` x in (-6, 6)` are :

A

5

B

3

C

7

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise MATCHING TYPE PROBLEMS|6 Videos
  • FUNCTION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise SUBJECTIVE TYPE PROBLEMS|33 Videos
  • FUNCTION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise ONE OR MORE THAN ONE ANSWE IS/ARE CORRECT|23 Videos
  • ELLIPSE

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos
  • HYPERBOLA

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

An even periodic functin f : R to R with period 4 is such that f (x)= [{:(max. (|x|"," x ^(2)),, 0 le x lt 1),( x,, 1 le x le 2):} The value of {f (5.12)} (where {.} denotes fractional part function), is :

An even periodic function f:R to R with period 4 is such that f(x)={{:(max.(|x|, x^(2))",",, 0lex lt1), (x",",,1le xle 2):} . Then draw the graph of y= f(x) for x in R

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

Let f(x) ={:{(x, "for", 0 le x lt1),( 3-x,"for", 1 le x le2):} Then f(x) is

f (x) is an even periodic function with period 10 in [0,5], f (x) = {{:(2x, 0le x lt2),(3x ^(2)-8,2 le x lt 4),(10x, 4 le x le 5):}. Then:

If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt x le 3):}, then

Let f (x)= max (x,x ^(2) x ^(3)) in -2 le x le 2. Then:

Let f(x)=2x(2-x), 0 le x le 2 . Then find the number of solutions of f(f(f(x)))= (x)/(2) .

Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof) (x).

Let f (x)= {{:(2-x"," , -3 le x le 0),( x-2"," , 0 lt x lt 4):} Then f ^(-1) (x) is discontinous at x=