What this means is that for a fixed increment in the
value of x (> 1), the increment in the value of y = fn (x) increases as n increases for n
= 1, 2, 3, 4 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