How many of the following statements are true about the identity function.
(a) It's graph is shown above.
(b) Domain is R
(c) Range is R
(d) Its an even function
Identify functions, f(x) = x . Its domain and range are R. So its graph is the one given in (1).
From the graph it is clear it is an odd function because it is symmetric about origin or,
f(-x) = -x = -f(x) ⇒ odd