What is the minimum degree of the polynomial that will produce the above graph?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
The minimum degree of a polynomial function is one more than the number of extrema in the function. There are three extrema (2 local minima and 1 local maximum), so you know that the degree is at least 3 + 1, or 4.