# What is the end behavior of f(x)=4x^7-3x^2+5x-2?

As $x \to - \infty , f \left(x\right) \to - \infty$
As $x \to \infty , f \left(x\right) \to \infty$
This is the end behavior because the highest degree of the function is odd, meaning the function will approach different infinities. Also, the coefficient of the highest degree term (${x}^{7}$) is positive (4), so therefore this is the end behavior.