Question

Let $f\left(x\right)=|x-2|$, where $x$ is a real number. Which one of the following is true?

• A. $f$ is periodic
• B. $f(x+y)=f\left(x\right)+f\left(y\right)$
• C. $f$ is an odd function
• D. $f$ is not one-one function
• E. $f$ is an even function

Answer 1

The correct option is D $f$ is not one-one function

From the graph of the function it can be observed clearly that $f$ is not one-one function.

So option $D$ is correct.