Inc/Dec Intervals & End Behavior Check

Front

What is an increasing interval in a function?

Back

An increasing interval is a range of x-values where the function's output (f(x)) is rising as x increases.

Front

How do you identify increasing intervals from a graph?

Back

Increasing intervals can be identified by looking for sections of the graph where the curve rises from left to right.

Front

What is a decreasing interval in a function?

Back

A decreasing interval is a range of x-values where the function's output (f(x)) is falling as x increases.

Front

How do you identify decreasing intervals from a graph?

Back

Decreasing intervals can be identified by looking for sections of the graph where the curve falls from left to right.

Front

What does end behavior refer to in a function?

Back

End behavior describes the behavior of a function as x approaches positive or negative infinity.

Front

What is the end behavior of a function if it approaches -∞ as x approaches -∞?

Back

If a function approaches -∞ as x approaches -∞, it means the function's values decrease without bound on the left side of the graph.

Front

What is the end behavior of a function if it approaches +∞ as x approaches +∞?

Back

If a function approaches +∞ as x approaches +∞, it means the function's values increase without bound on the right side of the graph.

Front

How can you determine the end behavior of a polynomial function?

Back

The end behavior of a polynomial function can be determined by its leading term and its degree.

Front

What is the significance of the leading coefficient in determining end behavior?

Back

The leading coefficient determines whether the ends of the graph rise or fall; a positive leading coefficient means both ends rise, while a negative leading coefficient means both ends fall.

Front

What is the difference between local and global extrema?

Back

Local extrema refer to the highest or lowest points in a specific interval, while global extrema refer to the highest or lowest points over the entire domain of the function.