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If f(x)=|x-2|, where x is a real number,...

If `f(x)=|x-2|`, where x is a real number, then, which one of the following is correct?

A

f is periodic

B

f(x+y)=f(x)+f(y)

C

f is an odd function

D

f is not one-one function

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The correct Answer is:
D
Given, `f(x)=|x-2|`

When we take a horizontal line parallel to X-axis, it intersects at two points. It means f(x) is not one-one function.
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