If the graph of a polynomial function has three turning points, that means the degree of the polynomial must be at least 3. The degree of a polynomial corresponds to the highest power of the variable in the polynomial expression.
As for the extrema, a turning point on the graph of a polynomial function can be either a local minimum or a local maximum. Since there are three turning points in this case, there can be a total of three extrema (a combination of local minimums and local maximums) in the polynomial function.
The graph of a polynomial function has three turning points. What do you know about the degree and extrema of this polynomial?
1 answer