Question

Let f(x)= {x}+{-x}. Then which of the following options is true? (where {.} represents fractional part function)
1. f is a periodic function with no fundamental period
2. f is one-one function
3. f is periodic with fundamental period 1
4. Range of f is {-1, 0, 1}​

Answer 1

Step-by-step explanation:

last option is correct answer

and have a goodie goodie good afternoon

Answer 2

Concept Introduction:-

A transformation from one set to the other allocates one $Y$ element for every $X$ element in mathematics.

Given Information:-

We have been given that $f(x)= {x}+{-x}$

To Find:-

We have to find that which of the option is true.

Solution:-

According to the problem

The range of the functions is $[-1,0,1]$. So the answer is the range between $[-1,0,1]$.

Final Answer:-

The option is option $4$. Range of f is $[-1,0,1]$.

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