Find the power function that the graph of f represents for l

Find the power function that the graph of f represents for large values of |x| f(x) x^2 (x + 9)^3 (x^2 - 1)

Solution

f(x)=x²(x+9)²(x²-1)

At tlarge values of x ,and in x+9, x is very large in comparison to 9,so we can ignore 9 and hence x+9 becomes x at very large value of x

SImilarly x²-1 becomes x² at large values of x

Therefore the required function is f(x)=x²*x²*x²=x⁶