Question

*Express the end behavior of the followingFunction in limit notation.G(x)=-x(x^2 + 3) (x - 2)^3 (x + 5)^2

Answer 1

we have the function

`g(x)=-x(x^2+3)(x-2)^3(x+5)^2`

In this problem, we have that

the leading coefficient is negative (-1)

The degree of the function is 8 (even)

therefore

the end behavior of the function is

f(x)→−∞, as x→−∞

f(x)→−∞, as x→+∞