What is the end behavior and turning points of #y = x^3 + 4x #?

The end behavior of the graph of a polynomial is determined by the its degree and the sign of the leading coefficient. For the even degrees the graph is either up or down on both ends i.e: the graph has the same direction on both ends . For the odd degrees the graph goes opposite directions. If the leading coefficient is positive the graph of even degree polynomials is up on both end and for the negative graph will be down on both ends. For the odd degree functions with positive leading coefficient the graph will be down on left, up on right but for negative will be up on left down on right.

The end behavior of the function y = x^3 + 4x is as follows:

As x approaches positive infinity, y approaches positive infinity. As x approaches negative infinity, y approaches negative infinity.

There are no turning points for the function y = x^3 + 4x because it is a cubic function, and cubic functions have either one or no turning points.