Short Answer TypeLet f : Z → Z, g : Z → Z be functions defined by
f = {(n, n2): n ∈ Z} and g = {(n | n |2): n ∈ Z}. Show that f = g.
Let f : R → R be defined as f (x) = x4 Choose the correct answer.
(A) f is one-one onto (B) f is many-one onto
(C) f is one-one but not onto (D)f is neither one-one nor onto.
Let f : R → R be defined as f (x) = 3 x. Choose the correct answer. (A) f is one-one onto (B) f is many-one onto
(C) f is one-one but not onto (D) f is neither onc-one nor onto.
f is one-one, as f (x1) = f (x2)
⇒ 3 x1 = 3 x2
⇒ x1 = x2.
Also, given any real number y in R, there exist
in R such that
Hence. f is onto
∴ (A) is correct answer.
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