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Question

If fx=x-2, where x is a real number, then, which one of the following is correct?


A

f is periodic

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B

fx+y=fx+fy

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C

f is an odd function

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D

f is not one-one function

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E

f is an even function

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Solution

The correct option is D

f is not one-one function


Explanation for the correct option:

Find the classification of function f:

Using the horizontal line test, if we draw a horizontal line to the graph of fx=x-2, it can be noticed that it intersects the graph at more than one point.

So for one value of y in the range there are more than one value in the domain. Thus the function is not one-one.

Thus the function fx=x-2 is not one-one function.

Hence, the correct option is D.


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