What key features can be identified from graphs of polynomials with higher degrees and explain how the key features can be used to sketch the graph of the polynomial function.

Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.

Is there a picture of a graph or whatever that goes along with this?