Question

select the answers that best complete the given statements. the behavior of the graph of a polynomial function to the far left or the far right is called its end behavior. it depends upon the term(s). positive leading smallest negative constant

Explanation:

The end - behavior of a polynomial function (what the graph does as \(x\to\pm\infty\)) is determined by the leading term. The leading term has the highest power of \(x\) in the polynomial. As \(|x|\) gets very large, the value of the leading term dominates over the other terms. For example, in the polynomial \(f(x)=3x^4 + 2x^2+1\), as \(x\to\pm\infty\), the function behaves like \(y = 3x^4\) since the \(3x^4\) term grows much faster than \(2x^2\) and \(1\) as \(|x|\) increases.

Answer:

leading