2.3 End Behavior Practice

Front

What is end behavior in the context of a graph?

Back

End behavior describes how the values of a function behave as the input (x) approaches positive or negative infinity.

Front

Define left end behavior of a graph.

Back

Left end behavior refers to the behavior of the function as x approaches negative infinity (x → -∞).

Front

Define right end behavior of a graph.

Back

Right end behavior refers to the behavior of the function as x approaches positive infinity (x → +∞).

Front

What does it mean if a graph approaches -∞ as x → -∞?

Back

It means that the values of the function decrease without bound as x moves towards negative infinity.

Front

What does it mean if a graph approaches +∞ as x → +∞?

Back

It means that the values of the function increase without bound as x moves towards positive infinity.

Front

If a graph has left end behavior L: x → -∞, f(x) → -∞, what does this indicate?

Back

This indicates that as x approaches negative infinity, the function values decrease towards negative infinity.

Front

If a graph has right end behavior R: x → +∞, f(x) → +∞, what does this indicate?

Back

This indicates that as x approaches positive infinity, the function values increase towards positive infinity.

Front

What is the significance of identifying end behavior in a graph?

Back

Identifying end behavior helps in understanding the overall trend of the function and predicting its behavior outside the visible range.

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. For example, if the leading term is positive and of even degree, both ends will rise.

Front

Back

As x → -∞, f(x) → +∞ and as x → +∞, f(x) → -∞.