Question

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

• A. \( f \text{ is periodic} \)
• B. \( f(x+y) = f(x) + f(y) \)
• C. \( f \text{ is an odd function} \)
• D. \( f \text{ is not a 1-1 function} \)
• E. \( f \text{ is an even function} \)

Hint:

Any function with an absolute value or an even power (like $x^2$) will generally fail to be one-to-one because the negative and positive counterparts often map to the same result.

Answer 1

The Correct Option is D