Characteristics of Polynomial Graphs

Front

What is an Absolute Maximum on a polynomial graph?

Back

The highest point on the graph over its entire domain.

Front

What is an Absolute Minimum on a polynomial graph?

Back

The lowest point on the graph over its entire domain.

Front

What does it mean for a polynomial to have an Even degree?

Back

The graph will have the same end behavior on both sides (either both up or both down).

Front

What does it mean for a polynomial to have a Positive leading coefficient?

Back

As x approaches positive or negative infinity, the graph will rise to positive infinity.

Front

What is a Local Maximum on a polynomial graph?

Back

A point where the function value is higher than all nearby points.

Front

What is a Local Minimum on a polynomial graph?

Back

A point where the function value is lower than all nearby points.

Front

What is an interval of increase on a polynomial graph?

Back

An interval where the function values are rising as x increases.

Front

What is an interval of decrease on a polynomial graph?

Back

An interval where the function values are falling as x increases.

Front

How can you determine the degree of a polynomial from its graph?

Back

The degree is the highest power of x in the polynomial, which can be inferred from the number of turns in the graph.

Front

What is the significance of the leading coefficient in a polynomial?

Back

It determines the end behavior of the graph.