Answer
Turning points are the points on the graph at which the graph changes its direction from increasing to decreasing or vice versa.
Work Step by Step
We know that turning points are the points on the graph at which the graph changes its direction from increasing to decreasing or vice versa.
For a polynomial function of degree $n$ , the graph of the function has at most $n-1$ number of turning points.
So,
The number of turning points $=n-1$ , where n is the degree of the polynomial function.
For example, let us consider a polynomial function $f\left( x \right)$ given by
$f\left( x \right)={{x}^{4}}-2{{x}^{2}}+1$.
Thus, the number of turning points for the graph of $f\left( x \right)=\left( 4-1 \right)=3$.
