Functions Question 623
Function $ f(x)=x^2-
[,], $ where [ ] denotes the greatest integer function. This function is [DCE 2005]
Options:
A) A periodic function is a function that repeats its values in regular intervals or periods.
B) A periodic function whose period is $ \frac{1}{2} $
C) A periodic function whose period is 1
D) Not a periodic function
Show Answer
Answer:
Correct Answer: C
Solution:
It is well known fact that fractional part function always a periodic function whose period is 1. $ -3\le x<-2,-2\le x<-1,-1\le x<0 $ $ y=f(x),,0\le x+3<1,,0\le x+2<1 $ , $ 0\le x+1<1 $ $ 0\le x<1,1\le x<2 $ $ 0\le x<1,0\le x-1\le 1 $ .
BETA
