It needs to be emphasized that many statements made in this section are
motivational and precise proofs of these are well beyond the scope of this text The Fig 5 9 gives a sketch of y = f1(x) = x, y = f2(x) = x2, y = f3(x) = x3 and y = f4(x)
= x4 Observe that the curves get steeper as the power of x increases