Question

How many of the following statements are true about the identity function. Mention the correct number of statement(s).

(a) It's graph is shown above.
(b) Domain is R
(c) Range is R
(d) Its an even function

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Answer 1

Identify function, f(x) = x . Its domain and range are R. So its graph is the one given.
From the graph it is clear it is an odd function because it is symmetric about origin or,
f(-x) = -x = -f(x) $\Rightarrow$ odd