End Behavior

Front

What does it mean when y → ∞?

Back

The function is increasing without bound as x approaches a certain value.

Front

What does it mean when x → -∞?

Back

The function is being evaluated as x approaches negative infinity.

Front

What is the end behavior of a function when x → ∞ and y → -∞?

Back

The function decreases without bound as x approaches positive infinity.

Front

What does it indicate when x → -∞ and y → -∞?

Back

The function decreases without bound as x approaches negative infinity.

Front

What is end behavior in the context of functions?

Back

End behavior describes the behavior of a function as the input values approach positive or negative infinity.

Front

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

Back

By analyzing the leading term of the polynomial.

Front

What does it mean when a function approaches a horizontal asymptote?

Back

The function approaches a specific y-value as x approaches positive or negative infinity.

Front

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

Back

The sign of the leading coefficient indicates whether the function will rise or fall as x approaches infinity.

Front

What is the end behavior of a function with an even degree and a positive leading coefficient?

Back

As x → ∞, y → ∞ and as x → -∞, y → ∞.

Front

What is the end behavior of a function with an odd degree and a negative leading coefficient?

Back

As x → ∞, y → -∞ and as x → -∞, y → ∞.