It is conceivable that such a statement is true for all positive values of n,
Rationalised 2023-24
 MATHEMATICS
126
where fn (x) = xn Essentially, this means
that the graph of y = fn (x) leans more
towards the y-axis as n increases For
example, consider f10(x) = x10 and f15(x)
= x15 If x increases from 1 to 2, f10
increases from 1 to 210 whereas f15
increases from 1 to 215