Find the power function that the graph of f resembles for th

Find the power function that the graph of f resembles for the large value of x. F(x)=-x^2(x+4)^3(x^2-1)

Solution

F(x)= -x^2(x+4)^3(x^2-1)

= -x^2(x^3 +64 +12x^2 +48x)(x^2 -1)

Highest degree term :-x^2*x^3*x^2 = -x^7

So, The power function for f when large values of x :

f(x) = -x^7 (power funtcion)