End Behavior

Front

What is End Behavior in mathematics?

Back

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

Front

What does x → ∞, y → -∞ indicate about a function's end behavior?

Back

As x approaches positive infinity, y approaches negative infinity, meaning the function decreases without bound on the right side.

Front

What does x → -∞, y → ∞ indicate about a function's end behavior?

Back

As x approaches negative infinity, y approaches positive infinity, meaning the function increases without bound on the left side.

Front

What does y represent in the context of end behavior?

Back

y represents the output of the function, indicating how the function behaves vertically (up and down) as x approaches infinity or negative infinity.

Front

If a function has end behavior of x → ∞, y → ∞, what does this mean?

Back

As x approaches positive infinity, y also approaches positive infinity, indicating the function increases without bound on the right side.

Front

What does x → -∞, y → -∞ indicate about a function's end behavior?

Back

As x approaches negative infinity, y approaches negative infinity, meaning the function decreases without bound on the left side.

Front

What is the significance of the left side in end behavior?

Back

The left side refers to the behavior of the function as x approaches negative infinity.

Front

What is the significance of the right side in end behavior?

Back

The right side refers to the behavior of the function as x approaches positive infinity.

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 does a positive leading coefficient indicate about end behavior?

Back

A positive leading coefficient indicates that the function will rise to positive infinity as x approaches positive infinity.