L3.1 Graphing Polynomial Functions

Front

End behavior

Back

describes what happens to the values of f(x) as x approaches +∞ or -∞.

Front

What determines the end behavior of a polynomial with more than one term?

Back

The highest-degree term determines the end behavior, as it grows faster than the other terms.

Front

What is the end behavior of an even degree polynomial?

Back

both ends of the graph point in the same direction (up if the leading coefficient is positive, down if it is negative).

Front

What is the end behavior of an odd degree polynomial?

Back

the two ends of the graph go in opposite directions (one up, one down).

Front

What do we need to determine the end behavior of a polynomial?

Back

We need the degree and leading coefficient.

Front

What are turning points in a polynomial graph?

Back

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

Front

What is a relative maximum?

Back

A relative maximum is a point that is higher than nearby points (local peak).

Front

What is a relative minimum?

Back

A relative minimum is a point that is lower than nearby points (local valley).

Front

What is the absolute maximum of a function?

Back

The absolute maximum is the greatest value of the function over its domain.

Front

What is the absolute minimum of a function?

Back

The absolute minimum is the least value of the function over its domain.