Question

determine the end behavior of the given polynomial function: f(x) = -x(2x+1)(x+2)

Answer 1

-x times x times x = -x^3
For very small values of x, -x^3 is positive so as x approaches negative infinity, the graph approaches positive infinity.

Answer 2

For very large values of x, -x^3 is negative so as x approaches positive infinity, the graph approaches negative infinity.