what is the least possible degree of the polynomial graphed above?
what is the least possible degree of the polynomial graphed above?
Answer
Explanation:
Step1: Identify turning - points
The graph has 2 turning - points.
Step2: Use the relationship between turning - points and degree
The number of turning points $T$ of a non - constant polynomial function $y = f(x)$ is at most $n - 1$, where $n$ is the degree of the polynomial. So, if $T=2$, then $n-1\geq2$, which implies $n\geq3$.
Answer:
3