Question

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

• A. It's an even function
• B. its graph is symmetrical about opposite quadrants
• C. Domain and range is both equal to R
• D. it's an odd function

Answer 1

Answer: (B), (C), (D)

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)

$\Rightarrow$ Its an odd function

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