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Question

Which of the following statements is/are correct about identity function?


A

It's an even function

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B

its graph is symmetrical about opposite quadrants

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C

Domain and range is both equal to R

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D

it's an odd function

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Solution

The correct options are
B

its graph is symmetrical about opposite quadrants


C

Domain and range is both equal to R


D

it's an odd function


The function y = x is called the identity function.

To check if it's an even function or odd function,

find f(-x) = -x = - f(x)

Its an odd function

We know, the graph of an odd function is symmetrical about origin.


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