Observe that the curves get steeper as the power of x increases Steeper the
curve, faster is the rate of growth 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
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where fn (x) = xn