Question

question 14 what is the least possible degree of the polynomial graphed above?

Explanation:

Step1: Analyze the number of turning - points

The number of turning - points of a polynomial function \(y = f(x)\) is at most \(n - 1\), where \(n\) is the degree of the polynomial. The graph has 1 turning - point.

Step2: Determine the least possible degree

Since the number of turning - points \(T=n - 1\) and \(T = 1\), then \(n=T + 1\). So the least possible degree \(n=2\).

Answer:

2