Characteristics of Polynomial Graphs

Front

What is an Absolute Maximum in a polynomial graph?

Back

The highest point over the entire graph of the function.

Front

What is a Local Minimum in a polynomial graph?

Back

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

Front

What is a Local Maximum in a polynomial graph?

Back

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

Front

What is an Absolute Minimum in a polynomial graph?

Back

The lowest point over the entire graph of the function.

Front

What does the degree of a polynomial indicate?

Back

The highest power of the variable in the polynomial, which affects the graph's shape.

Front

What is the likely degree of a polynomial that has four turning points?

Back

4 (the degree is at least one more than the number of turning points).

Front

What is the difference between Even and Odd degree polynomials?

Back

Even degree polynomials have symmetric graphs about the y-axis; Odd degree polynomials have graphs that are symmetric about the origin.

Front

What does a Positive Leading Coefficient indicate about the end behavior of a polynomial graph?

Back

As x approaches positive infinity, the graph rises to positive infinity.

Front

What does a Negative Leading Coefficient indicate about the end behavior of a polynomial graph?

Back

As x approaches positive infinity, the graph falls to negative infinity.

Front

What is an interval of increase in a polynomial graph?

Back

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