For n, m\(\in \)N, n/m means that n is a factor of n & m. Then find whether the given relation is an equivalence relation.

Find the domain of each of the following functions given by:
f(x) = \(\frac { { x }^{ 3 }-x+3 }{ { x }^{ 2 }-1 } \).

Find the domain and range of the function f(x) = \(\frac { { x }^{ 2 }-9 }{ x-3 } \).

If A = { 0, 1, 2, 3, 4, 5, 6, 7 } is a set. Then,

Draw the curves of
(i) y = x² + 1
(ii) Y = (x + 1)² by using the graph of curve y = x.