Max Roots, Max Turning Points, Extrema

Front

What is a maximum root?

Back

A maximum root is a point where a polynomial function reaches its highest value (maximum) on a graph.

Front

What is a minimum root?

Back

A minimum root is a point where a polynomial function reaches its lowest value (minimum) on a graph.

Front

What is a turning point?

Back

A turning point is a point on the graph of a function where the function changes direction from increasing to decreasing or vice versa.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

How do you find the maximum number of real zeros in a polynomial?

Back

The maximum number of real zeros is equal to the degree of the polynomial.

Front

What is an example of a polynomial with 3 real zeros?

Back

P(x) = 3x^3 + 4x - 8 has 3 real zeros.

Front

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

Back

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

Front

How many turning points can a polynomial of degree 4 have?

Back

A polynomial of degree 4 can have a maximum of 3 turning 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

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.