Math 3 Extrema Flashcard

Front

What determines the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient.

Front

Back

The leading coefficient is 2, which is positive.

Front

Back

The degree is 4, which is even.

Front

List the types of intervals in order for a function that is increasing, constant, and then decreasing.

Back

The order is increasing, constant, decreasing.

Front

What is the location of the absolute maximum for a function if it occurs at x = 3?

Back

The absolute maximum is located at x = 3.

Front

Back

The absolute minimum value is -4, occurring at x = 2.

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, as x increases, the function's value also increases.

Front

What does it mean for a function to be decreasing on an interval?

Back

A function is decreasing on an interval if, as x increases, the function's value decreases.

Front

What is a constant interval in the context of a function's graph?

Back

A constant interval is where the function's value remains the same as x changes.

Front

How can you identify the absolute maximum of a function from its graph?

Back

The absolute maximum is the highest point on the graph of the function.