Home
Class 12
MATHS
Draw the graph of f(x) ={2x}, where {*} ...

Draw the graph of `f(x) ={2x}`, where `{*}` represents the fractional part function.

Text Solution

Verified by Experts

We have `f(x) = {2x}=2x- [2x]`
`" "={{:(......,,), (......,,),(2x+1",",,2x in [-1, 0) or x in [-1//2, 0)),(2x",",, 2x in [0, 1) or x in [0, 1//2)), (2x-1",",,2x in [1, 2) or x in [1//2, 1)), (2x-2",",, 2x in [2, 3) or x in [ 1, 3//2)),(2x-3",",,2x in [3, 4) or x in [3//2, 2)), (......,,),(......,,):}`
Thus, the graph is as shown in the following figure.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAPHS OF ELEMENTARY FUNCTIONS

    CENGAGE|Exercise Exercise|34 Videos

  • GRAPHS OF POLYNOMIAL AND RATIONAL FUNCTIONS

    CENGAGE|Exercise Exercises|4 Videos

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise|22 Videos

Similar Questions

Explore conceptually related problems

Draw the graph of y= 2^({x}) , where {*} represents the fractional part function.

Draw the graph of y=|{x}-0.5| , where {.} represents the fractional part function.

Draw the graph of y={|x|} , where {.} represents the fractional part function.

Draw the graph of |y|={x} , where {.} represents the fractional part function.

Draw the graph of y=cos^(-1){x}," where "{*}" represetns the fractional part function" .

Solve : x^(2) = {x} , where {x} represents the fractional part function.

Find the range of f(x)=[sin{x}], where {} represents the fractional part function and [] represents the greatest integer function. A. -1 B. 0 C. 1 D. 0.5

Draw the graph of y =(1)/({x}) , where {*} denotes the fractional part function.

Draw the graph of f(x) = x|x| .

Draw a graph of f(x) = sin {x} , where {x} represents the greatest integer function.

Home
Profile