Turning Points of a Polynomial Function

Front

What are turning points in a polynomial function?

Back

Turning points are points on the graph where the function changes direction from increasing to decreasing or vice versa.

Front

Where do you find relative minimums and relative maximums?

Back

Turning points.

Front

What is the maximum number of turning points for a 4th degree polynomial?

Back

3 turning points.

Front

What is the maximum number of turning points for a cubic polynomial?

Back

2 turning points.

Front

What is a relative minimum?

Back

A relative minimum is a point where the function value is lower than the values of the function at nearby points.

Front

What is a relative maximum?

Back

A relative maximum is a point where the function value is higher than the values of the function at nearby points.

Front

How do you determine the turning points of a polynomial function?

Back

By finding the critical points where the first derivative is zero or undefined.

Front

What is the significance of the degree of a polynomial in relation to turning points?

Back

The maximum number of turning points is one less than the degree of the polynomial.

Front

What is an absolute maximum?

Back

An absolute maximum is the highest point over the entire domain of the function.

Front

What is an absolute minimum?

Back

An absolute minimum is the lowest point over the entire domain of the function.